Volume of a rectangular prism
Grades 5 and 6 (Years 5 and 6 in England) · 16 questions · Common Core: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5, 5.MD.C.5.B · England: Y5 Measurement, Y6 Measurement, KS3 Geometry and measures
Name
Date
Score/ 16
Question 1
A cuboid has edges 2/3 m, 3 m and 1/2 m. Find its volume in m³ as a fraction or mixed number.
Answer(as a fraction)
Question 2
How many cubes with edge ½ cm fill a box that is 3 cm by 3.5 cm by 4 cm?
Answer
Question 3
Jamal builds a cuboid from unit cubes: 5 cubes long, 3 cubes wide and 3 cubes tall. How many cubes does Jamal use?
Answer
Question 4
A cuboid has a volume of 70 cm³. Its length is 7 cm and its width is 5 cm. What is its height?
Answer
Question 5
A stack of 1 cm cubes is 5 cubes long, 5 cubes wide and 2 layers high. How many cubes are there?
Answer
Question 6
The picture shows one layer of a box packed with 1 cm cubes. There are 3 layers like this. What is the volume of the box in cm³?
Answer
Question 7
A fish tank has a volume of 200 cubic units and a base of 8 by 5 units. How many units high is it?
Answer
Question 8
A block measuring 6 cm × 4 cm × 6 cm has a piece measuring 2 cm × 4 cm × 3 cm cut out of one end. What volume is left?
Answer
Question 9
A shape is made by joining two cuboids. One is 6 cm × 3 cm × 3 cm and the other is 2 cm × 4 cm × 1 cm. What is the total volume?
Answer
Question 10
A box measures 1.7 cm by 3 cm by 1.2 cm. What is its volume, in cm³?
Answer
Question 11
A box is 10 ft long, 6 ft wide and 2 ft high. What is its volume, in ft³?
Answer
Question 12
A fish tank has a base area of 24 dm² and holds 144 dm³ of water when full. How deep is the water when the tank is full, in dm?
Answer
Question 13
A cuboid has edges 2 1/2 m, 3 m and 2 m. Find its volume in m³ as a fraction or mixed number.
Answer(as a fraction)
Question 14
How many cubes with edge ½ cm fill a box that is 1.5 cm by 2.5 cm by 3 cm?
Answer
Question 15
Leo builds a cuboid from unit cubes: 5 cubes long, 4 cubes wide and 3 cubes tall. How many cubes does Leo use?
Answer
Question 16
A cuboid has a volume of 175 cm³. Its length is 7 cm and its width is 5 cm. What is its height?
Answer
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