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6.05 Volume of rectangular prisms

Worksheet
Volume of rectangular prisms
1

Find the volume of the following prisms:

a
b
c
d
e
f
2

Find the volume of the cube shown:

3

Find the volume of a cube with the following side lengths:

a
5 \text{ ft}
b
4 \text{ in}
4

A container has the shape of a rectangular prism, with the following dimensions: 50\text{ ft}, 80 \text{ ft}, and 20 \text{ ft}. Find its volume.

5

A tank has a length of 7 \text{ yd}, width of 2 \text{ yd} and depth of 6 \text{ yd}. Find the volume of the tank.

Applications
6

A garden bed is 5 \text{ ft} in length, 2\text{ ft} in width and 0.2 \text{ ft} in height. Find the volume of soil that will be needed to fill up the garden bed.

7

Find the maximum volume of water the following aquarium can hold:

8

A box of tissues is in the shape of a rectangular prism. It measures 19 \text{ cm} by 39 \text{ cm} by 11 \text{ cm}.

a

Find the volume of the box.

b

A supermarket owner wants to arrange a number of tissue boxes on a shelf such that there are no gaps between the boxes or at either end of the shelf. If the shelf at the supermarket is 95 \text{ cm} long, find the maximum number of tissue boxes that can be organized in this way.

9

A box is 1 \text{ m} long, 20 \text{ cm} high and 30 \text{ cm} wide. What is the volume of the box in cubic centimeters?

10

The following rectangular prism has a volume of 168\text{ mm}^3:

Find the length, a, of the rectangular prism.

11

The following rectangular prism has a volume of 1680\text{ mm}^3:

Find the width of the rectangular prism in millimeters.

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Outcomes

MA.6.GR.2.3

Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and a formula.

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