Question

14 and 15 please thank you

Answer 1

Problem 14

Answer: They bought too much sand

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Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought too much sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

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Problem 15

Answers:

• The equation could be 306.52 = 19.4h or  19.4h = 306.52
• Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

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Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.