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An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing material is required to fill the box?

A3/10 ft^3
B1/10 ft^3
C1/3 ft^3
D2/3 ft^3

Verified Answer :

bobeld

Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)

9/10 x 1/3 

9     x     1   =  3
10          3       10       (I cancelled the 9 and 3 and made them 3 and 1                                                          respectively)
The answer is 3/10 ft³

The total amount of packing material required to fill the box is 3/10 cubic feet and this can be determined by using the formula of the volume.

Given :

  • An empty box is shaped like a rectangular prism.
  • The box has a base area of 9/10 square feet and a height of 1/3 feet.

The following steps can be used in order to determine the total amount of packing material required to fill the box:

Step 1 - The formula of the volume can be used in order to determine the total amount of packing material required to fill the box.

Step 2 - The formula of the volume of the box is given below:

\(V = A \times H\)

where A is the area of the box and H is the height of the box.

Step 3 - Now, substitute the values of A and H in the above expression.

\(V = \dfrac{9}{10} \times \dfrac{1}{3}\)

\(V = \dfrac{3}{10}\;{\rm ft^3}\)

Therefore, the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/25834626

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