Question

What is the volume of the box?

Answer 1

D
`1 (1)/(8)` ft³

Explanation:

V= area of base * h

A of base= 3(1/4) × 6(1/4) = 18

↓

a of base = 0.75 x 1.5 = 1.125

=

1.125 x 4(1/4)

↓

1.125 x 1 = 1.125

1.125 = x/y ⇒
`1 (1)/(8)`

Your answer is D
`1 (1)/(8)` ft³

Hope this helps! Let me know if you have any questions. Have a great day!

Answer 2

`\displaystyle 1(1)/(8)` ft³

Explanation:

First, the box is one foot tall. In other words, it has a height of 1 foot. Since one cube is equal to
`(1)/(4)` ft, and the box is four cubes tall,

`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft = 1 foot

Now, it has a width of
`(3)/(4)` ft because, as stated above, one cube is equal to
`(1)/(4)` ft. The box has three cubes making up the width.

`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft =
`(3)/(4)` ft

Next, it has a length of
`(3)/(2)` ft because, as stated twice above, one cube is equal to
`(1)/(4)` ft. The box has six cubes making up the length.

`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft +
`(1)/(4)` ft =
`(6)/(4)` ft =
`(3)/(2)` ft

Lastly, we will solve for the full volume of the box.

V = L * W * H

V =
`(3)/(2)` ft *
`(3)/(4)` ft * 1 ft

V =
`\displaystyle (3*3*1)/(2*4)` ft³

V =
`\displaystyle (9)/(8)` ft³

V = 1
`\displaystyle (1)/(8)` ft³