The DAV Maths Class 4 Solutions and DAV Class 4 Maths Chapter 13 Worksheet 3 Solutions of Volume offer comprehensive answers to textbook questions.
DAV Class 4 Maths Ch 13 WS 3 Solutions
Question 1.
Fill in the blanks.
(a) Amount of space occupied by a solid is called its ________.
Solution:
Volume
(b) Volume of a cuboid = Length × ________ × ________
Solution:
Breadth; Height
(c) Volume of a cube = Edge × ________ × ________.
Solution:
Edge; Edge
(d) Cube is the best unit for measuring ________.
Solution:
Volume
(e) Volume of a cube of edge 1 mm is ________.
Solution:
1 cu. mm
(f) If a box is filled with 8 cubes of edge 1 cm each its volume is ________.
Solution:
8 cu. mm
Question 2.
Find the volume of these cubes whose edges are given below:
(a) 4 cm
Solution:
4 cm
Volume of cube = Edge × Edge × Edge
= 4 cm × 4 cm × 4 cm
= 64 cu. cm
(b) 12 cm
Solution:
12 cm
Volume of cube = Edge × Edge × Edge
= 12 cm × 12 cm × 12 cm
= 1728 cu. cm
(c) 15 cm
Solution:
15 cm
Volume of cube = Edge × Edge × Edge
= 15 cm × 15 cm × 15 cm
= 3375 cu. cm
(d) 13 cm
Solution:
13 cm
Volume of cube = Edge × Edge × Edge
= 13 cm × 13 cm × 13 cm
= 2197 cu. cm
Question 3.
Find the volume of the following cuboids whose dimensions are given below:
(a) Length =15 cm, breadth = 8 cm, height = 5 cm.
Solution:
Volume of cuboid = length × breadth × height
= 15 cm × 8 cm × 5 cm
= 600 cu. cm
(b) Length = 5 cm, breadth = 3 cm, height = 2 cm.
Solution:
Volume of cuboid = length × breadth × height
= 5 cm × 3 cm × 2 cm
= 30 cu. cm
(c) Length = 10 cm, breadth = 5 cm, height = 3 cm.
Solution:
Volume of cuboid = length × breadth × height
= 10 cm × 5 cm × 3 cm
= 150 cu. cm.
(d) Length = 17 cm, breadth = 14 cm, height =12 cm.
Solution:
Volume of cuboid = length × breadth × height
= 17 cm × 14 cm × 12 cm
= 2856 cu. cm
Question 4.
An encyclopedia has a length of 30 cm, breadth 20 cm and height 8 cm. Find the volume of the encyclopedia.
Solution:
Length of encyclopedia = 30 cm
Breadth of encyclopedia = 20 cm
Height of encyclopedia = 8 cm
Volume of encyclopedia = 30 cm × 20 cm × 8 cm
= 4800 cu. cm
Question 5.
A dice has an edge of 4 cm. Find the volume of the dice.
Solution:
A dice has an cubic shape so we have to find the volume of a cube.
Volume of dice = Edge × Edge × Edge
= 4 cm × 4 cm × 4 cm
= 64 cu. cm
Question 6.
Find the volume of a brick of length 18 cm, breadth 9 cm and height 6 cm.
Solution:
Brick has a cuboidal shape, so we have find the volume of a cuboid.
Volume of brick = length × breadth × height
= 18 cm × 9 cm × 6 cm
= 972 cu. cm