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KiRa [710]
4 years ago
8

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
Mathematics
2 answers:
Firlakuza [10]4 years ago
8 0
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. 
shepuryov [24]4 years ago
7 0

Answer:

box b is smaller because, box a has 16 cubic feet but box b has 2.25 cubic feet

Step-by-step explanation:

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kati45 [8]

Step-by-step explanation:

the volume is

base area × height

the base area is a circle, and the area of a circle is

pi×r²

in our case the volume is

pi×5²×22 = pi×25×22 = 550pi = 1,727.875959... cm³

the surface area is the sum of

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the lateral area

the lateral area (the "mantle wall" of the cylinder) you can imagine to be cut open and then placed flat on a table.

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the circle circumference is

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the surface area is then

691.1503838... + 2×pi×25 = 691.1503838... + 50pi =

= 848.2300165... cm²

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Answer:

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