asked 70.3k views
5 votes
The figure (triangular prism) below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of the figure? A. 7776 in B. 48 in C. 24 in D. 162 in

asked
User Nosale
by
8.2k points

1 Answer

3 votes

Answer:

The answer is B.

Explanation:

It is given that the formule of volume of prism is V = a × h where a stands for area of cross-section. Then, substitute the following value into the formula :

V = 864 in³

h = 18 in

a = ?

864 = a × 18

Next, you have to make a as the subject by dividing 18 on both sides :

864 ÷ 18 = a × 18 ÷ 18

48 = a

a = 48 in²

answered
User Archibald
by
7.8k points
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