Aunit cube is shown.

Select the true statements

A unit cube can have a length of 1 inch, a width of 1 inch, and a height of 2 inches

A unit cube has one cubic unit of volume.

Another unit cube with the same length, width and height as the unit cube shown would have

the same volume

Aunit cube can be used to measure the weight of a rectangular prism.

A unit cube can be used to measure the volume of a rectangular prism.

Aunit cube can have a length of 4 feet, a width of 4 feet, and a height of 4 feet.

A unit cube can be used to determine the angle measures of a rectangular prism,

4 of 10 Answered

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is should be y = 5x

step-by-step explanation:

correct me if im wrong

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

addition

step-by-step explanation: