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What is the volume of the box?

What is the volume of the box?-example-1
User DomBurf
by
8.4k points

2 Answers

5 votes

Answer:

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!

User Nverinaud
by
8.3k points
4 votes

Answer:


\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

User Dominik Grabiec
by
8.2k points

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