IXL | Volume: changes in scale I

Look at this rectangular prism:

7 cm

4 cm

If the width is tripled, then which of the following statements about its volume will be true?

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

of the old volume.

The new volume will be

times the old volume.

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Learn with an example

question

Look at this rectangular prism:

10 in

4 in

1 in

If the height is doubled, then which of the following statements about its volume will be true?

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

of the old volume.

solution

You can solve this problem without using the measurements given in the diagram.

The original rectangular prism had this volume:

V = lwh

The new rectangular prism will have 2 times the height. Since the original height was h, the new height will be 2h. Calculate the volume:

V	=	lw(2h)

	=	2lwh

Divide the new volume by the original volume and simplify.

new volume

original volume

2lwh

lwh

The new volume will be

times the old volume.

$Confetti$

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Not feeling ready yet? These can help:

Volume of cylinders

Volume of cones

L.1Understanding ratios

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