Question

A triangular prism has a height of 10 cm and a base area of 12 cm². A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?

A. Yes, because they have the same height and the same cross sectional area at every level
parallel to the bases.
B. Yes, because they are congruent solids.
C. No, because Cavalieri's principle only applies to solids with congruent cross sections.
D. No, because they have different dimensions.

Answer 1

A

Explanation:

General formula to find Volume is Base Area x Height

1. Volume of triangular prism:

10cm x 12cm² = 120cm³

3. Volume of rectangular prism:

10cm x (3cm x 4cm) = 10cm x 12cm² = 120cm³