Question

A) A warehouse is 57 yards long, 34 yards wide, and 5 yards high. What is the area of the warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes? B) A room has a rectangular floor that measures 26 feet by 14 feet and a flat 9-foot ceiling m. What is the area of the floor and how much air does the room hold? C) A grain silo had a circular base with an area of 260 square feet and is 18 feet tall. What is the total volume?

Answer 1

Explanation:

A)

the floor's dimensions are length and width.

so, the area of the floor is

57 × 34 = 1,938 yards²

when it is packed to hand its height, that means the height is 5/2 = 2.5 yards.

so, the volume (of the boxes) is

1938 × 2.5 = 4,845 yards³

B)

the area of the floor is

26 × 14 = 364 ft²

and its volume (amount of contained air) is

364 × 9 = 3,276 ft³

C)

such a silo is simply a cylinder : circular ground area and then straight up.

the volume of any regular 3D object is

ground area × height.

FYI : the area of a circle is

pi × r²

with r being the radius (remember, that is half of the diameter).

but we don't even need to go there in this case. we have the ground area and the height. so, we simply need to calculate

260 × 18 = 4,680 ft³

is the total volume.