# Free Perimeter, Area and Volume 02 Practice Test - 5th Grade

If the dimensions of a box is 6 m×4 m×5 m, then its volume is:

A.

120 m3

B.

158 m3

C.

132 m3

D.

128 m3

#### SOLUTION

Solution : A

=6 m×4 m×5 m
=120 m3
Therefore, volume of the box will be 120 m3.

If the perimeter of a square is 16 cm, then its area is:

A.

4 cm2

B.

8 cm2

C.

16 cm2

D.

32 cm2

#### SOLUTION

Solution : C

Given: Perimeter = 16 cm
Perimter of a square = 4 × Side
16 cm = 4 × Side
Side =164=4 cm

Area of a square = Side × Side
Area of the square =4 cm×4 cm=16 cm2

Find the perimeter of the triangle given below.

A.

150 cm

B.

90.8 cm

C.

170 cm

D.

90.08 cm

#### SOLUTION

Solution : C

We know that 1 m = 100 cm
0. 8 m = 0.8 × 100 cm = 80 cm

Perimeter  = Sum of all sides = AB + BC +AC
Perimeter = 50 cm + 40 cm + 80 cm = 170 cm

If the area of a rectangle is 63 cm2 and its breadth is 7 cm, then the length of the rectangle is:

A.

6 cm

B.

7 cm

C.

8 cm

D.

9 cm

#### SOLUTION

Solution : D

Given:
Breadth of a rectangle = 7 cm
Area of the rectangle   = 63 cm2

Area of rectangle = Length × Breadth
Length = 63 cm27 cm=9 cm

If the dimensions of a brick is 20 cm×10 cm×5 cm, then the volume of two such bricks will be ____ cm3.

A.

1000

B.

2000

C.

3000

D.

4000

#### SOLUTION

Solution : B

Given: Dimensions of a brick is 20 cm×10 cm×5 cm.

Volume of the brick =length×breadth×height=20 cm×10 cm×5 cm=1000 cm3
Volume of two bricks  =2×1000 cm3=2000 cm3

A rectangle is formed by keeping two squares next to each other. The length of the sides of each square is 10 cm.

What is the area of the rectangle formed by these two squares?

A. 100 cm2
B. 200 cm2
C. 300 cm2
D. 400 cm2

#### SOLUTION

Solution : B

Given: The length of the sides of each square is 10 cm.
For the rectangle formed:
Length = 10 cm + 10 cm = 20 cm
Area of the rectangle = Length × Breadth = 20cm×10 cm=200 cm2

If the perimeter of a square is 40 cm, then find the length of its side.

A. 5 cm
B. 10 cm
C. 160 cm
D. 80 cm

#### SOLUTION

Solution : B

Given: Perimeter of the square = 40 cm
Perimeter of a square = 4×Side
4×Side=40 cm
Side=10 cm

If the perimeter of a square is 40 cm, then the length of its side will be 10 cm.

If the volume of a cube is 1000 cm3, then the length of its side will be:

A. 100 cm
B. 100 cm2
C. 10 cm
D. 10 cm2

#### SOLUTION

Solution : C

Given: Volume of the cube: 1000 cm3
Volume of a cube = Side3
Side3=1000 cm3
Side=10 cm
Therefore, the length of the side will be 10 cm.

Length and breadth of a rectangle are 10 cm and 5 cm. Find its area.

A. 15 cm
B. 15 cm2
C. 2 cm
D. 50 cm2

#### SOLUTION

Solution : D

Given: Length of the rectangle = 10 cm
Breadth of the rectangle = 5 cm
Area of a rectangle = Length × Breadth
= 10 cm×5 cm
= 50 cm2
Therefore, area of the given rectangle is 50 cm2.

The side of a cube is 4 cm long. Find its volume.

A. 64 cm3
B. 16 cm3
C. 32 cm3
D. 64 cm3

#### SOLUTION

Solution : D

Given: Length of each side = 4 cm
Volume of a cube = Side3
= (4 cm)3
= 64 cm3
Therefore, volume of the given cube is 64 cm3.