Question

I need help on my math work.

Answer 1

300 cubic inches

Explanation:

Triangle: 1/2b*h

1/2*5*6=15

Then multiplied the triangular prism's height.

15*10=150

Then multiply by two for both triangular prisms

150*2=300

Answer 2

300 cubic inches

Explanation:

You want the volume of a prism with a base in the shape of two congruent isosceles triangles 5 in wide and 6 in high. The prism is 10 in between bases.

Base area

The area of a triangle is given by the formula ...

A = 1/2bh

Then the area of two identical triangles will be ...

2A = bh

base area = (5 in)(6 in) = 30 in²

Volume

The volume of the prism is given by the formula ...

V = Bh . . . . . . . where B is the base area, h is the height between bases

V = (30 in²)(10 in) = 300 in³

The volume of the prism is 300 cubic inches.