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it 6B Review Guide
Google Docs
E/1FA pQLSdidk1wTqog1nnRXnGNcHRMndiM_CZggJIGZ-Y-K-Eb_h82po/wiewform
What is the volume of the triangular prism below? *
1
Your answer
What is the volume of the cereal box in the shape of a rectangular prism? *
1 po

it $6$ B Review Guide $\newline$ Google Docs $\newline$ E/ $1$ FA pQLSdidk $1$ wTqog $1$ nnRXnGNcHRMndiM_CZggJIGZ-Y-K-Eb_h $82$ po/wiewform $\newline$ What is the volume of the triangular prism below? * $\newline$ $1$ $\newline$ Your answer $\newline$ What is the volume of the cereal box in the shape of a rectangular prism? * $\newline$ $1$ po

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. it

6

B Review Guide

\newline

Google Docs

\newline

E/

1

FA pQLSdidk

1

wTqog

1

nnRXnGNcHRMndiM_CZggJIGZ-Y-K-Eb_h

82

po/wiewform

\newline

What is the volume of the triangular prism below? *

\newline

1

\newline

Your answer

\newline

What is the volume of the cereal box in the shape of a rectangular prism? *

\newline

1

po

Identify dimensions: Identify the dimensions of the cereal box; let's say the length is $l$ cm, the width is $w$ cm, and the height is $h$ cm. We need these to calculate the volume.
Write formula: Write down the formula for the volume of a rectangular prism, which is $\text{Volume} = \text{length} \times \text{width} \times \text{height}$ .
Plug in dimensions: Plug in the given dimensions into the formula. If the length is $12\,\text{cm}$ , width is $7\,\text{cm}$ , and height is $3\,\text{cm}$ , then Volume = $12\,\text{cm} \times 7\,\text{cm} \times 3\,\text{cm}$ .
Calculate volume: Calculate the volume by multiplying the dimensions. Volume = $12 \times 7 \times 3 = 252$ cubic centimeters.
Correct mistake: Oops, made a mistake, I didn't actually give the dimensions of the cereal box. I need to use the correct dimensions to find the volume.

More problems from Volume of cubes and rectangular prisms: word problems

Question

A cylindrical soda can has a volume of

108\pi\ \text{cm}^{3}

and a height of

12\text{cm}

. What is the surface area of the soda can in square centimeters?

\newline

1

\newline

18\pi\text{cm}^{2}

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36\pi\text{cm}^{2}

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72\pi\text{cm}^{2}

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90\pi\text{cm}^{2}

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Question

A cake pan is in the shape of a right rectangular prism

20\,\text{cm}

20\,\text{cm}

5\,\text{cm}

high. The pan contains

1,000\,\text{cm}^3

of batter. Approximately how far is the cake batter from the top of the pan?

\newline

1

\newline

1\,\text{cm}

\newline

2.5\,\text{cm}

\newline

5\,\text{cm}

\newline

7\,\text{cm}

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Question

A contractor is to build a new structure at a farm for seed storage. It will have a rectangular base, which is

20

35

feet long, with walls of thickness

t

feet. The structure is

90

feet tall. Excluding the volume of the walls, which of the following functions best models the volume,

V

, in cubic feet, inside the structure?

Posted 1 month ago

Question

Rocio drops a ball from a height of

4

meters. Rocio observes that each time the ball bounces, it reaches a peak height which is

\newline

79\%

of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,

\newline

h

, in meters, after

\newline

b

\newline

1

\newline

\newline

h=4\cdot0.79^{(b-1)}

\newline

\newline

h=4\cdot0.79^{b}

\newline

\newline

h=4-0.79\cdot b^{2}

\newline

\newline

h=4\cdot(1-0.79\cdot b^{2})

Posted 2 months ago

Question

Imani's grandmother's house is

5

miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at

10

miles per hour. Which equation best describes the distance,

\newline

d

, in miles, Imani is from home after

\newline

t

\newline

1

\newline

d=5+10t

\newline

d=5-10t

\newline

d=5t+10

\newline

d=5t-10

Posted 1 month ago

Question

A piece of wood has a mass of

m_1

grams and a volume of

V_1

cubic centimeters. A second piece of wood has the same density

\rho

and a volume of

V_2

. What is the mass, in grams, of the second piece of wood?

Posted 2 months ago

Question

The function models

R

, the revenue, in dollars, from selling a particular board game at a price of

x

dollars. What is the revenue if the board game is sold at a price of

30

\newline

1

\newline

\$500,000

\newline

\$800,000

\newline

\$900,000

\newline

\$1,770,000

Posted 1 month ago

Question

Rocio drops a ball from a height of

4

meters. Rocio observes that each time the ball bounces, it reaches a peak height which is

79\%

of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,

h

, in meters, after

b

\newline

1

\newline

h=4\cdot0.79^{(b-1)}

\newline

h=4\cdot0.79^{b}

\newline

h=4-0.79\cdot b^{2}

\newline

h=4\cdot(1-0.79\cdot b^{2})

Posted 2 months ago

Question

What is the volume, in cubic inches, of a rectangular prism with a height of

7

inches, a width of

5

inches, and a length of

5

\newline

V=\square

^{3}

Posted 2 months ago

Question

A rectangular prism has a length of

2

inches, a height of

16

inches, and a width of

15

inches. What is its volume, in cubic inches?

\newline

V=\square

^{3}

Posted 2 months ago