WorksheetsUnit Test (Volume and Surface Area)
Total questions: 35
Worksheet time: 3hrs 55mins
What is the volume, in cubic centimeters, of a sphere whose diameter is 6 cm? Use 3.14 for pi.
37.68 cm3
150 75 cm3
904.32 cm3
113.04 cm3
What is the volume of the pyramid below?
18 yd3
6 yd3
3 yd3
12 yd3
What is the surface area of a square-based pyramid that has 29 cm2 as the base area and 16 cm2 as the area of one of the triangular faces?
109 cm2
45 cm2
122 cm2
93 cm2
The cone shown below has a height of 5 inches and a radius of 1.5 inches. What is the approximate volume of the cone?
between 11 and 12 inches3
between 15 and 16 inches3
between 15 and 16 inches3
between 39 and 40 inches3
Marco is building a model of a square pyramid. He wants to cover the entire model, including the base, with gray paper. How many square feet of paper will he need to cover the model?
40 ft2
46 ft2
56 ft2
96 ft2
PAST CONCEPT: The locations of Andy’s house, school and local park form a triangle, as shown. Which is a possible distance from the local park to Andy’s school?
4 miles
8 miles
10 miles
11 miles
What is the diameter of a sphere whose surface area is 20.25 π square centimeters?
2.25 cm
4.5 cm
5.5 cm
20.25 cm
What is the surface area of the right cone below if its volume is 50 cubic centimeters?
38 cm2
57 cm2
113 cm2
226 cm2
PAST CONCEPT: What is the value of θ correct to the nearest degree?
29 degrees
35 degrees
56 degrees
61 degrees
PAST CONCEPT: The bottom of a ladder must be placed 4 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Round your answer to the nearest tenth.
10.6 feet
11.9 feet
11.3 feet
128 feet
For a project, Kenneth has to paint all the faces of a square – based pyramid (excluding the base). The pyramid has the dimensions shown below. How much paint will Kenneth need to cover the faces of the pyramid?
216 mm2
297 mm2
198 mm2
279 mm2
A rectangular pyramid has a volume of 2975 cm3. If the base lengths are 20 cm and 25 cm, find the height of the pyramid.
5 mm
15
17.85 cm
25
An open cone has a circular base of radius 10 cm and a slant height of 20 cm. Find the surface area of the cone. Use 3.14 for pi.
942 cm2
628 cm2
728 cm2
800 cm2
An open cone has a circular base of radius 10 cm and a slant height of 20 cm. Find the volume of an open cone. Use 3.14 for pi.
628 cm3
1779 cm3
2500 cm3
3200 cm3
A sphere has a volume of 356 cm3. What is the value of the radius correct to the nearest whole number?Use 3.14 for pi.
2 cm
3 cm
4 cm
5 cm
A sphere has a volume of 356 cm3. Calculate the surface area of the sphere. Use 3.14 for pi.
150.43 cm2
243.16 cm2
234.16 cm2
The diagram shows an object made from two cones, one on top of the other. The top cone has a height of 8 cm and the bottom cone has a height of 10 cm. Both cones have a radius of 5 cm. Find the total surface area of the object. Use 3.14 for pi.
314 cm2
471 cm2
514 cm2
215 cm2
Find the surface area. Use 3.14 for pi.
200 cm2
342 cm2
418 cm2
513 cm2
Find the surface area.
113.1 mm2
904.8 mm2
452.4 mm2
150.8 mm2
Find the surface area.
346.9 m2
684 m3
1140 m3
228 m3
What is Surface Area?
The space that is occupied by a two dimensional shape
The distance around a two dimensional shape
Area of all surfaces that make up a three dimensional figure
How much space an object has
Use 3.14 for pi.
1150.3
675.2
88.5
574.9
Find the surface area. Use 3.14 for pi.
530.9
2588.3
398.2
498.2
Find the volume of a HEMIsphere with a radius of 4. Use 3.14 for pi.
85.3
62.67
133.97
8π267.95
Erica has a sphere shaped ball that has a diameter of 4 inches. Ernest has a sphere shaped ball that has a radius 4 inches. How much more volume does Ernest's ball have than Erica's ball?
33.5
267.9
234.4
301.4
Joyce has a cone shaped planter hanging on her porch. The planter has a radius of 6.8 inches and a height of 12.2 inches. What is the total amount of soil the planter can hold?
590.5
1771.4
145.2
196.8
V=1/3πr2h
V=4/3πr3
