Question

Matti built a greenhouse in his backyard as shown below

Answer 1

well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

`\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}* \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3`

Answer 2

Option B.

Explanation:

Volume of a green house in the backyard which in the shape of triangular prism V = (Area of base)×(Height)

In the figure attached,

Height of the triangular base = 7 ft

Base = 7 ft

Area of the triangle =
`(1)/(2)(7)(7)`

Area =
`(49)/(2)=24.5` ft²

Therefore, volume of the prism = 24.5 × 15

= 367.5 ft²

Option B. is the correct option.