Question

LOOK AT THE PIC BELOW

Answer 1

Answer:

B. 200 cubic feet

Step-by-step explanation:

There are two prisms: the triangular prism and the rectangular prism

first lets start with the triangular one:

remember that for a right triangular prism (this one), the area is 1/2 x base x height x length

another way to think about it is to find the area of the triangle and then multiply that by the thickness

The base is 4 feet and the height is the same as the rectangular prism, which is 5

and the length is 4 ft (same as rectangular prism)

so 1/2 x 4 x 5 x 4 is 40

next lets do the rectangular prism

remember the volume is length x width x height

8 x 4 x 5 = 160

now we simply add the volume of the two prisms

40 + 160 = 200

and there's you're answer :)

hope that helps!

Answer 2

Answer:

Step-by-step explanation:

Area of triangular face = 0.5×4×5 = 10 ft²

Volume of triangular prism = 10×4 = 40 ft³

Volume of rectangular prism = 8×4×5 = 160 ft³

Total volume = 40+160 = 200 ft³