2 in
Ben uses clay to make the rectangular prism to the left. Naomi
uses cardboard to make the triangular prism to the right. Compare
the volumes of the prisms. Use pencil and paper. Describe two
(The figures are not to scale) different methods by which you can compare the volumes.
11 in
5 in
in
18 in
5 in
Which statement best compares the volumes of the two prisms?
O A. Naomi's prism has the greater volume.
OB. Ben's prism has the greater volume.
OC. The prisms have the same volume.

Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.

What is the volume of the rectangular prism?

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Ben uses clay to make the rectangular prism to the left.

Volume of rectangular prism = (length x width x height)

= 11 x 5 x 2

= 110 cubic in

Naomi uses cardboard to make the triangular prism to the right.

The volume of a right triangular prism = ( height× Base Area)

= 4 x 18 x 4

= 288 cubic in

Therefore, Naomi's prism has a greater volume.

Learn more about rectangular prism;

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