Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use decimals instead of fractions. Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation. The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet. Box A contains cubic feet of space, and Box B contains cubic feet of space. Box A contains cubic feet more space than Box B. NextReset

Question

Mathematics

Elliot Griffith

27 April, 23:27

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use decimals instead of fractions. Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation. The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet. Box A contains cubic feet of space, and Box B contains cubic feet of space. Box A contains cubic feet more space than Box B. NextReset

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Answers (1)

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Rachael Bowman · Answer 1

Given:

2 rectangular prism.

same height

square bases

Box A Box B

Square Base side 2 ft 0.75 ft

Height 4 ft 4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A:

Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:

Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B.