Which statements are true about the toolbox? Select two options.
The shape can be broken into a rectangular prism and a triangular prism.
The shape can be broken into a rectangular prism and a rectangular pyramid.
The formula for the volume of this figure is V = B h + one-third B h.
The volume of the toolbox is 840 inches cubed
The volume of the toolbox is 900 inches cubed

Answers

Answer 1

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a  rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct  


Related Questions

Convert 5pie/3 radians to degrees

Answers

Answer:

300 degrees

Step-by-step explanation:

After converting the given equation 5π/3 into degree, the value obtained will be equal to 300°.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

5π/3 radians to degree.

To convert radians to degree multiply it with 180/π

So,

5π/3 × 180/π

= 60 × 5

= 300°

To know more about Expression:

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Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant

Answers

12 tulips
16 daffodils

Answer:

12 Tulips

Step-by-step explanation:

Daffodils - 4, 4, 4, 4 = 16

Tulips -       3,3,3,3 = 12

28 flowers in all

You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?

Answers

Answer:

$135

Step-by-step explanation:

Step 1

Conversion

Base = 2 yards

1 yard = 3 feet

2 yards = x

Cross Multiply

x = 2 × 3 feet = 6 feet

Height = 5 yards

1 yard = 3 feet

5 yards = x

Cross Multiply

x = 5 × 3 feet = 15 feet

Step 2

Find the area of the triangle

Area of a triangle = 1/2 × base × height

Base = 6 feet

Height = 15 feet

Area = 1/2 × 6 × 15

= 45 square feet

Step 3

Find the cost of the carpet

1 Square foot = $3

45 square feet = x

Cross Multiply

x = 45 × $3

x = $135

Therefore, the amount you will pay to cover a triangular section of the floor is $135

The radius of a circle is 2 miles. What is the circle's
circumference?
r=2 mi
Use 3.14 for a.

Answers

Answer:

12.56

Step-by-step explanation:

4 ×3.14 to get 12.56

6 x 10^ is how many times as large as 3 x 10^3?

Answers

Answer:  1800000000

Step-by-step explanation:

Answer:

200 Times as large

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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=387

=2x387=774

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Answers

Answer:

V = 672; SA = 544; LA = 448

Step-by-step explanation:

A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?

Answers

Answer:

138 laps in 23 minutes

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Could you please comment down below and restate the question?

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Step-by-step explanation:

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THE ANSWER IS A

A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?

Answers

Answer:

12 1/2 kg

Step-by-step explanat

Answer: 12.5kg

Step by step:
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Evan earns $21.50 per hour for 25 hours and time and a half for overtime. If he worked 5 hours
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Answers

21.50 x 25 = 537.50
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When finding the area of a quadrilateral, what operation would I use and why?

Answers

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Step-by-step explanation:

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D

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Algebra Nation

(There’s no comma separating the answer but leave a space)

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Answers

Answer:

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Step-by-step explanation:

Given:

Angle created by sector = 90°

Diameter of circle = 13 centimeters

Find:

Area of sector

Computation:

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Radius of sector = 13 / 2

Radius of sector = 6.5 centimeters

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Answers

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Answers

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