Surface Area and Volume
Word Problems
Changing Dimensions
Transformations
100
Find the volume of a sphere whose radius is 2.6 inches. Use 3.14 for pi. Round to the nearest tenth
73.6 in3
100
Coach Maine is filling up basketballs with air. If the diameter of the basketball is 18 in, what is the minimum amount of air needed for the ball to be fully inflated?
3053.62
100
If the dimensions of a cube are multiplied by 5, what will happen to the volume?
It will be 125 times bigger
100
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
Reduction by 1/4
200
Find the volume of a cylinder whose diameter is 8mm and height is 10mm.
502.4 mm3
200
If the height of a cylinder is 13 in and the diameter is 7 in. What is the lateral area of the cylinder?
285.88
200
The ratio of the radii of two cones is 3:4. What is the ratio of the volumes of those two cones?
27:64
200
If the trapezoid was translated so that point D was now at (-2, 1). What would be the new location of point G?
(-2,-3)
300
Find the lateral surface area of the prism:
504 mm2
300
The volume of a cube is 343 in3, what is the surface area of that cube?
294
300
If the radius of one cylinder is 4 times the length of another cylinder, how many times larger would the volume be of the first cylinder?
16 times larger
300
Which of the following is a line of reflection for the image shown on the graph?
A. x = 1 B. y = 1 C. y = x D. y = -x
D
400
Find the volume of a rectangular pyramid whose dimensions are 8 in, 10 in, and a height of 6 in.
160 in3
400
Rectangular boxes are being put into a space that is 12 ft by 13 ft by 15 ft. If the boxes are 3 ft by 4 ft by 5 ft, how many boxes can fit into the space?
39
400
If the ratio of two cones surface areas is 25:4, what is the ration of their volumes?
125:8
400
What are the new coordinates of the rectangle after rotating it 180 degrees?
(7, -6) , (2, -6) , (7, -1), (2, -1)
500
Find the surface area of the triangular prism.
240 cm2
500
A square pyramid has a surface area of 135 ft2. What is the slant height if the length of one side of the base is 5 ft?
11 ft
500
Two cereal boxes are similar. Cereal A has a height of 4 feet and Cereal B has a height of 3 feet. If the volume of Cereal A is 128.72 ft2 , what is the volume of Cereal B?
54.3
500
The vertices of a triangle are A(3,5), B(-2,4), and C(-3,7).
What is the point A' after reflecting the triangle over the line y=x and translating it down 3 units?
(5, 0)