Volume of a Rectangular Prism

Volume of a Rectangular Prism

How much can it hold?

GOAL

I will be able to calculate the volume of a rectangular prism by multiplying the length x the width x the height.

LET'S START with VOLUME!

Volume: the amount of space that a substance or object occupies, or that is enclosed within a container.

Multiple Choice

What is volume?

• how heavy it is

• how much space it takes up

• how much matter is in the object

• the shape of the object

Volume

• Volume is measured in cubic units (i.e. m³, ft³, inches³, etc)

• Volume can be found by counting the cubes inside an object OR multiplying LxWxH

• Volume = LxWxH

Multiple Choice

What label will NOT be appropriate for volume?

• square miles

• cm³

• cubic inches

• feet³

Multiple Choice

When you are finding the length x width x height of a 3-dimensional figure, this is also called the:

• base

• perimeter

• volume

• width

Rectangular Prism

- a solid figure where all sides are rectangles

Volume = LxWxH

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?

• length x width

• length x width x height

• height x length

• length + width + height

Volume of Rectangular Prism

V=LxWxH

V=3x2x3

V=18 cubic units or 18 units³

Multiple Choice

The dimensions of this rectangular prism are:

• Length: 6 cubes, Width: 3 cubes, Height: 3 cubes

• Length: 3 cubes, Width: 3 cubes, Height: 6 cubes

• Length: 3 cubes, Width: 3 cubes, Height: 3 cubes

• Length: 9 cubes, Width: 3 cubes, Height: 3 cubes

Multiple Choice

What is the volume of this rectangular prism?

• 10 cubic units

• 21 cubic units

• 30 cubic units

• 30 units

Multiple Choice

What is the volume of this prism?

• 6 cubic units

• 12 cubic units

• 4 cubic units

Multiple Choice

If a rectangular prism's volume is 420cm³. The prism has a length of 12cm, and width of 7cm, what is height of the rectangular prism?

• 12cm

• 5cm

• 420cm

• 84cm

Multiple Choice

What is the volume of this prism?

• 16 cubic cm

• 36 cubic cm

• 144 cubic cm

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?

• lw

• lwh

• hl

• l+w+h

Multiple Choice

What is the volume of this prism?

• 20 cubic feet

• 8 cubic feet

• 40 cubic feet

Multiple Choice

What is the volume of this prism?

• 24 cubic cm

• 240 cubic cm

• 60 cubic cm

Multiple Choice

What is the volume of this prism?

• 18 cubic cm

• 6 cubic cm

• 9 cubic cm

Multiple Choice

What is the volume of this prism?

• 16 cubic cm

• 12 cubic cm

• 48 cubic cm

Multiple Choice

• 45mm²

• 45mm³

• 3,375mm³

• 3,375mm²

Multiple Choice

Quinton wants to build a toy box with a volume of 16 cubic feet. What could the dimensions be?

• 2 x 3 x 4

• 2 x 2 x 2

• 2 x 3 x 3

• 2 x 4 x 2

Multiple Choice

What is the volume of this rectangular prism?

• 27 cubic units

• 18 cubic units

• 9 cubic units

• 3 cubic units

Multiple Choice

Jim made a rectangular prism whose length is 4 in., height 10 in., and width 6 in. Find the volume of a rectangular prism

• 250 in³

• 240 in³

• -240 in³

• 240 cm³