Surface Area
Volume
Circles
Cross Sections
Word Problems
100
Find the surface area of a rectangular prims with sides 8 cm, 10 cm, and 5 cm.
340 cm2
100
Find the volume of a rectangular prism with side lengths of 8 cm, 10 cm, and 25 cm.
2000 cm3
100
The circumference of a circle is approximately 15.7 cm. What is the diameter?
pi approx 3.14
5 cm
100
A right circular cone is represented below. Which figure could not be a cross section of the cone?
a. circle
b. oval
c. triangle
d. rectangle
d. rectangle
100
Which of these statements is true?
a. The diameter of a circle is equal to the radius.
b. The radius of a circle is three times its diameter.
c. The radius and the diameter are not related.
d. The diameter of a circle is twice as long as the radius.
d. The diameter of a circle is twice as long as the radius.
200
When a cube is doubled in size, the surface area is how many times larger?
4 times larger
200
What is the volume of the prism?
144 in3
200
A circle has a diameter of 9.5 inches. What is the area of the circle to the nearest hundredth of an inch?
pi approx 3.14
70.85 in2
200
Which is not a cross section of a right circular cylinder?
a. triangle
b. circle
c. rectangle
d. oval
a. triangle
200
Finding the circumference of a circle is most similar to finding which of the following?
a. The area of a square
b. The height of a triangle.
c. The volume of a cube.
d. The perimeter of a rectangle.
d. The perimeter of a rectangle.
300
A cube has edge lengths of 2 meters. A second cube has edge lengths of 5 meters. What is the ratio of the surface area of the first cube to the surface area of the second cube?
4 meters : 25 meters
300
When a cube is tripled in size, the volume is how many times larger?
27 times larger
300
A circle has a diameter of 17 inches. Using 3.14 for pi, what is the circumference?
55.38 inches
300
A cross section of a cube passes through exactly 3 vertices. What shape represents the cross section?
a. hexagon
b. triangle
c. pentagon
d. square
b. triangle
300
Two parallel lines are 8 inches apart. A circle is drawn between them so that it just touches the two lines. What is the radius of the circle?
4 inches
400
What is the surface area of this tent?
47.8 m2
400
An empty swimming pool is 3 yards deep, 5 yards wide, and 15 yards long. How many cubic yards of water would it take to fill the pool?
225 yd3
400
A circles has a diameter of 15 inches. Using 3.14 for pi, what is the area of the circle? Round your answer to the nearest hundredth.
176.63 in2
400
A plane intersects a right rectangular pyramid, producing a cross section. The plane is parallel to the base. What shape is the cross section?
a. rectangle
b. triangle
c. trapezoid
d. octagon
a. rectangle
400
Find the volume of a rectangular solid if the dimensions are given as 10 yd by 3 yd by 3yd.
90 yd3
500
A triangular prism is composed of a base that is a right triangle with legs (perpendicular sides) of lengths 5 cm and 12 cm and 13 cm. If the height of the prism is 10 cm, what is the total surface area?
360 cm2
500
A prism has a base of 14 cm2 and a volume of 105 cm3. What is the height of the prism?
7.5 cm
500
Find the area of the shaded region inside the square. The square has a side length of 10 inches.
pi approx 3.14
78.5 in2
500
A triangular right prism is cut perpendicular to the base. What is the shape of the cross section?
a. rectangle
b. hexagon
c. trapzoid
d. triangle
a. rectangle
500
A square has an area of 81 m2. What is the length of each side of the square?
9 meters