A square box has a volume of 64 cubic inches.What's its perimeter?
Answer(s): B
Volume equals length times width times height (V = lwh). In this case, V = 64, so one side of the box is 4-inches long.The cube root of 64 produces this number: 64 = 4 × 4 × 4.Find the perimeter by adding the four sides together: 4 + 4 + 4 + 4 = 16.
A cube has a volume of 64 cubic inches.What's its surface area?
Answer(s): C
Volume is calculated by multiplying length times width times height (V = lwh).Because the edges are equal on a cube, each edge is 4 inches.The cube root of 64 produces this number: 64 = 4 × 4 × 4.The area of one side of the cube is 4 × 4 = 16, and because a cube has 6 sides, you multiply 16 × 6 to find the surface area of the cube, 96 inches.
(x2)3 = __________.
(x2)3 is the same as (x2) (x2) (x2). Multiply exponents with the same base by keeping the base and adding the exponents: (x2) (x2) (x2) = x6.
4! = __________.
Answer(s): D
4! (4 factorial) = 4 × 3 × 2 × 1 = 24.
If a3 + b3 = a3 + x3, then b = __________.
To solve, subtract a3 from both sides of the equation:a3 + b3 a3 = a3 + x3 a3b3 = x3b = x
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