asked 109k views
0 votes
Matti built a greenhouse in his backyard as shown below.

A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet.

How much cubic space is in Matti’s greenhouse?
191.1 ft
367.5 ft
382.2 ft
735.0 ft

asked
User Janielle
by
8.4k points

1 Answer

7 votes

Here's how to calculate the capacity of Matti's greenhouse. First, we need to know the dimensions: the base width and length are 7 feet by 15 feet, and the height of the prism is 7 feet. To find the capacity of the greenhouse, we need to calculate the volume of the rectangular base, which is a triangular prism. We can do this by multiplying the area of the triangular base by the height. Therefore, the capacity of Matti's greenhouse is [(1/2)(7)(7)][15] which equals [(1/2)(49)][15], which equals [(24.5)][15], resulting in a capacity of 367.5 cubic feet.

answered
User Hopewell Mutanda
by
7.9k points
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