Formulas
similar shapes
Surface area
Volume
100
It's the formula for the area of a circle
What is pi * r^2
100
Given the ratio of corresponding sides of two similar shapes is 2:3, this is the ratio of their perimeters
What is 2:3
100
The surface area of a parallelepiped with dimensions of 10in x 12in x 5in
What is 460 in^2
100
The height of a prism who's volume is 225in^3 and the area of the Base is 45in^2
What is 5in
200
The area formula of a trapezoid
What is 1/2h(b1 + b2)
200
Given the ratio of the perimeters is 5:4, the side length of the larger shape is 15, it's the corresponding side on the smaller shape
What is 12
200
The lateral area of an equilateral triangular prism with bases side length of 6ft and height of 8 feet
What is 144ft^2
200
The Volume of a rectangular prism with dimensions of 18in x 2ft x 10in
What is 4320in^3 or 2.5ft^3
300
V = lwh is the formula for this
What is the volume of a rectangular prism
300
Given the ratio of sides is 3:7, this is the ratio of the areas
What is 9:49
300
Given the lateral area of a cylinder is 40pi ft^2 and has a height of 8 feet, this is the radius
What is 2.5 feet
300
The volume of a sphere if the surface area of a sphere is 36pi ft^2 in terms of pi.
What is 36pift^3
400
V = 1/3*pi*r^2*h is the formula for this.
What is the volume of a cone
400
Given the ratio of the areas is 4:9, Find the side length of the smaller side corresponding to a length of 18 on the larger
What is 12?
400
It's the radius of a sphere whose surface area is 400pi yds^2
What is 10yds
400
The volume of a cube is 216ft^3. After cutting each side in half, the volume of the new cube is
What is 27ft^3
500
It's the surface area formula for a sphere
What is 4*pi*r^2
500
Given the ratio of areas between two shapes is 25:36, this is the ratio of the volumes
What is 125:216
500
Find the surface area of a cone whose height is 10in, the slant height is 12in and whose radius is 4in to the nearest 10th.
What is 201.1in^2
500
To the nearest lb. it's the weight of a 5 gallon bucket with dimensions of 11inches diameter and a height of 15 inches with water weighing 62.4 lbs./ft^3
What is 51 lbs.
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