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Class 7 Mathematics: questions and answers on volume
The figure below represents a solid.
What is its volume in #cm^3#
A. 16
B. 32
C. 12
D. 8
(3m 24s)
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1.
What is the difference in volume of a cube whose sides measure 7cm and a cylinder whose height is 7cm and the diameter of the base is 7cm? (Take #pi==22/7#) A. 73.5#cm^3# B. 343#cm^3# C. 269.5#cm^3# D. 0#cm^3#
2.
The figure below shows a semi-circular water container 3 m long. The diameter of the semi-circle 1.4m . What is the volume of the container in cubic metres? ( Take #pi=22/7#) A. 4.41 B. 4.62 C. 2.31 D. 23.1
3.
Amjit made a hollow block as shown in the diagram below The measurements of the block are 30 cm by 20 cm by 10 cm. The diameter of the hollow cylindrical space is 14cm. What is the volume of the block? (Take#pi=22/7#) A. 7540 #cm^3# B. 6000#cm^3# C. 4460#cm^3# D. 1540#cm^3#
4.
The figure below represents a solid. What is its volume in #cm^3# A. 16 B. 32 C. 12 D. 8
5.
The figure below shows a metal cylinder with a square hole of side 5 cm made through its length. The diameter of the cylinder is 14 cm and its height is 10cm What is the volume of the metal?(Take =#pi=22/7#) A. 1540#cm^3# B. 1290#cm^3# C. 1790#cm^3# D. 5910#cm^3#
6.
The diagram below represents a solid made up triangular prism from which half a cylinder of diameter 2 cm has been removed. What is the volume of the solid? (Take #pi=22/7#) A. 12.32#cm^3# B. 19.68#cm^3# C. 32.00#cm^3# D. 7.36#cm^3#
7.
The diagram below shows an open rectangular box made up of timber. The external measurement of the box are 30cm, 25cm and 15cm. the thickness of the timber is 2cm. What is the volume of the timber used to make the box? A. 4152#cm^3# B. 2879#cm^3# C. 7098#cm^3# D. 11250#cm^3#
8.
The figure below represents a solid object in the form of a rectangular block with a semi-circular groove. What is the volume of the solid in cm3? (Take #pi=22/7#) A. 1260#cm^3# B. 1540#cm^3# C. 2360#cm^3# D. 2800#cm^3#
9.
The diagram below represents a rectangular solid from which a cylinder of diameter 4.2 cm has been removed. What is the volume of the solid in #cm^3#? (Take #pi=22/7#) A. 150 B. 69.3 C. 84 D. 80.7
10.
A cylinder has a height of 12cm. what is its diameter if its volume 1848#cm^3#? (Take#pi=22/7#) A. 154cm B. 49cm C. 14cm D. 7cm
11.
The diagram below represents a solid object. The corners are right angled and the dimensions are in centimeters. What is the volume of thesolid in# cm^3#? A. 2500 B. 3750 C. 4375 D. 5000
12.
A rectangular container whose base measures 70cm by 60cm is 35 cm high. If the container is filled with water to a height of 22cm,what is the volume of the remaining empty space? A. 147000#cm^3# B. 92400#cm^3# C. 546000#cm^3# D. 100800#cm^3#
13.
A cylinder has a volume of 550#cm^3#. If the height of the cylinder is 7cm, what is its diameter? (Take #22/7#) A. 50cm B. 25cm C. 10cm D. 5cm
14.
A cylindrical block has a diameter of 14cm and a height of 10cm while, rectangular block measures 15cm by 10cmby 5cm. what is the difference in their volumes? (Take #pi=22/7#) A. 310#cm^3# B. 790#cm^3# C. 2290#cm^3# D. 5410#cm^3#
15.
One cuboid measures 2m by 4m by 3m. Another cuboid measures 10cm by 8cm by5cm. What is the difference in their volumes in cubic metres? A. 23.6 B. 23.96 C. 23.996 D. 23.9996
16.
What is the volume, in #cm^3# of a cylinder whose diameter is 14cm and height 10cm? (Take #pi=22/7#) A. 6160 B. 1540 C. 748 D. 440
17.
What is the volume of a cylindrical tan of diameter 5m and height 6m? (Take #pi=22/7#) A.#471 3/7m^3# B.#133 4/7m^3# C.#117 6/7m^3# D.#94 2/7m^3#
18.
A cylindrical solid of height 20cm and radius 7cm is cut into two equal parts along the diameter. What is the volume of each part in #cm^3#(Take #pi=22/7#) A. 3080 B. 440 C. 1540 D. 385
19.
A rectangular container is 80cm long, 50cm wide and 40cm high. The container is filled with water to a level 30cm high. What is the volume of the empty space in the container? A. 180000#cm^3# B. 160000#cm^3# C. 120000#cm^3# D. 40000#cm^3#
20.
A cylindrical container has a circumference of 176 cm and a height of 40cm. What is the volume of the container in #cm^3#? (Take #pi=22/7#) A. 394240 B. 98560 C. 7040 D. 3520
21.
A cylindrical water tank has a diameter of 1.4m and a height of 3m. What is the volume of the tank in# m^3#? (Take #pi=22/7#) A. 4.62 B. 13.2 C. 16.28 D. 18.48
22.
The diagram below represents a cylindrical solid of diameter 56cm. The solid has a circular hole of radius 7cm. The length of the solid is 120cm. What is the volume of the solid? (Take #pi=22/7#) A. 18480#cm^3# B. 295680#cm^3# C. 314160#cm^3# D. 277200#cm^3#
23.
The diagram below represents a solid cube of side 6cm from which a cylinder of diameter 2.8cm has been removed. What is the volume the remaining solid in #cm^3#?(Take #pi=22/7#) A. 36.96 B. 68.16 C. 179.04 D. 216.0
24.
The figure drawn below is a right-angled triangular prism. What is the volume of the prism? A. 3000#cm^3# B. 3200#cm^3# C. 6000#cm^3# D. 6500#cm^3#
25.
A cylindrical container of diameter 8cm has a height of 35cm. What is the volume of the container in cubic centimeters? (Take #pi=22/7#) A. 1760 B. 7040 C. 880 D. 440
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