Word Problems: Volume | Mathematics for Class 5 PDF Download

Q1: Find the volume of a cube of side 8 cm.

Sol: Volume of cube = s x s x s = 8 x 8 x 8 = 512 cm³

Q2: Find the volume of a cuboid of dimensions 18 cm x 30 mm x 15 cm.

Sol:
length = 18 cm,
breadth = 30 mm = 3 cm (10 mm =1 cm, 30/10 = 3 cm),
height = 15 cm
Volume of cuboid = length x breadth x height
= 18 x 3 x 15
= 810 cm³

Q3: A box of length 30 cm, breadth 30 cm, and height 50 cm is filled with oil. What is the volume of the oil that has been filled in the box?

Sol:

Length (l) = 30 cm

Breadth (b) = 30 cm

Height (h) = 50 cm

Volume of a cuboid is given by the formula:

Volume=l×b×h$=\; 30\; \times \; 30\; \times \; 50$=30×30×50=45,000cm³

Thus, the volume of the oil filled in the box is 45,000 cm³.

Q4: Find the volume of an ice-cream brick of length 22 cm, breadth 10 cm, and height 8 cm.

Sol:

Length (l) = 22 cm

Breadth (b) = 10 cm

Height (h) = 8 cm

Volume of the ice-cream brick:

Volume=l×b×h$=\; 22\; \times \; 10\; \times \; 8$=22×10×8 = 1,760cm³

Thus, the volume of the ice-cream brick is 1,760 cm³.

Q5: There is a flower bed 80 cm long, 40 cm wide, and 2 cm deep in Shruti’s garden. Find the volume of the soil the gardener dug out to make the bed.

Sol:

Length (l) = 80 cm

Breadth (b) = 40 cm

Depth (h) = 2 cm

Volume of the flower bed:

$Volume\; =\; l\; \times \; b\; \times \; h$Volume=l×b×h$=\; 80\; \times \; 40\; \times \; 2$=80×40×2=6,400cm³

Thus, the volume of the soil dug out is 6,400 cm³.

Q6: Find the volume of 20 ice cubes, each of side 5 cm.

Sol:

Side of each cube (s) = 5 cm

Volume of one cube:

$Volume\; =\; s\; \times \; s\; \times \; s$Volume= s×s×s$=\; 5\; \times \; 5\; \times \; 5$= 5×5×5$=\; 125\; \backslash ,\; cm³$= 125cm³

Volume of 20 cubes:

$=125\times 20=\; 125\; \times \; 20$= 2,500cm³

Thus, the total volume of 20 ice cubes is 2,500 cm³.

Q7: Swati’s almirah is 80 cm long, 40 cm wide, and 90 cm high. What is the volume of her almirah?

Sol:

Length (l) = 80 cm

Breadth (b) = 40 cm

Height (h) = 90 cm

Volume of the almirah:

Volume= l×b×h$=\; 80\; \times \; 40\; \times \; 90$= 80×40×90= 288,000cm³

Thus, the volume of Swati’s almirah is 288,000 cm³.

Q8: Find the number of cubical boxes of cubical side 5 cm, which can be accommodated in carton of dimensions 25 cm x 10 cm x 15 cm.

Sol:
Volume of cubical box = side x side x side
= 5 x 5 x 5
= 125 cm³
Volume of carton = 25 x 10 x 15
= 3750 cm³
No. of boxes = Volume of carton/Volume of each box
= 3750/125
= 30

Q9: Find the volume of a cuboid of dimensions 16 cm x 10 cm x 6 cm.

Sol: Volume of cuboid = l x b x h = 16 x 10 x 6 = 960 cm³

Q10: Find the volume of a cuboid of dimensions 21 mm x 2 cm x 12 mm in cm³.

Sol:
10 mm = 1 cm
Therefore, 21 mm = 21/10 cm = 2.1 cm
And 12 mm = 12/10 = 1.2 cm
Length = 2.1 cm, breadth = 2 cm, height = 1.2 cm
Volume of cuboid = l x b x h
= 2.1 x 2 x 1.2
= 5.04 cm³