Question

fan and medial

The attic of a house has the shape of a triangular prism. The triangular end of the attic has a base that is 12 feet across and a height of 8 feet. The length of the attic is 30 feet from front to back.



What is the volume of the attic?



ft3

Answer 1

@Queenofwarfare1 @wio @eliassaab

Answer 2

@tejasvir

Answer 3

look at the formula for triangular prism :)

Answer 4

(area of a triangle) * depth

Answer 5

If you ever have a shape that is just extruded, just find the area of the 2-d shape and multiply it by the extrusion length/depth

Answer 6

i still don't get it

Answer 7

What is the area of a triangle?

Answer 8

\[A = \frac{ 1 }{ 2 }*base*height\]

Answer 9

hieght x width?

Answer 10

So the area of the triangle end is, 1/2 * 12 * 8 = 1/2 * 96 = 48 ft^2

Answer 11

So the volume is,

V = (area of triangle) x depth of the attic

Answer 12

= 48 ft^2 * 30 ft = 1440 ft^3

Answer 13

thanks so much

Answer 14

np

Answer 15

48 ft^2 * 30 ft = 1440 ft^3