Question

A right square prism has a volume of 360 cubic units.

Which could be the dimensions, in units, of the prism? Check all that apply.

A. 3 by 3 by 40
B. 4 by 4 by 20
C. 6 by 6 by 10
D. 2.5 by 12 by 12
E. 3.6 by 10 by 10

Answer 1

So basically we can check them all by multiplying all of the dimensions.
A: 3 * 3 * 40 = 360, so yes, it could be the dimensions
B: 4 * 4 * 20 = 320, so no, it couldn't be the dimensions
C: 6 * 6 * 10 = 360, so yes, it could be the dimensions.
D: 2.5 * 12 * 12 = 360, so yes, it could be the dimensions.
E: 3.6 * 10 * 10 = 360, so yes, it could be the dimensions.

I hope this helped :)

Answer 2

The dimensions of the right square prism can be (3 by 3 by 40), (6 by 6 by 10), (2.5 by 12 by 12), and (3.6 by 10 by 10).

Given to us

A right square prism has a volume of 360 cubic units.

What is a right square prism?

The right square prism is a cuboid such that its base faces are square. therefore, the volume of a right square prism is given as,

$\rm Right\ Square\ Prism = length \times breadth \times height$

Which could be the dimensions, in units, of the prism of volume 360 units³?

To know what would be the dimensions of the given prism, find the volume from each of the option,

A. 3 x 3 x 40 = 360

B. 4 x 4 x 20 = 320

C. 6 x 6 x 10 = 360

D. 2.5 x 12 x 12 = 360

E. 3.6 x 10 x 10 = 360

Hence, the dimensions of the right square prism can be (3 by 3 by 40), (6 by 6 by 10), (2.5 by 12 by 12), and (3.6 by 10 by 10).

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