1. Convert the following units as mentioned below.
a. 1m = …………… cm
1m = 1 x 00 = 100 cm
b. 2.5 m = ………… cm
1 m = 100 cm
2.5 m = 2.5 x 100 = 250 cm
c. 250 cm = ……….. m
1 m = 100 cm
250 cm = 250 ÷ 100 = 2.5 m
d. 1.5 l = ………….. ml
1 L = 1000 ml
1.5 L = 1.5 x 1000 = 1500 ml
e. 750 ml = ……….. l
1 L = 1000 ml
750 ml = 750 ÷ 1000 = 0.75 L
f. 1500 g = ……….. kg
1 kg = 1000 g
1500 g = 1500 ÷ 1000 = 1.5 kg
g. 4.5 kg = ………... g
1 kg = 1000 g
4.5 kg = 4.5 x 1000 = 4500 g
h. 7 tonnes = ……… kg
1 t = 1000 kg
7 t = 7 x 1000 = 7000 kg
i. 2500 kg = ……….. t
1 t = 1000 kg
2500 kg = 2500 ÷ 1000 = 2.5 t
2. Sonam wants to carpet his sitting
room. It is 5 meters long and 4 meters wide. How many square meters of carpet
will he need to buy?
3. Tashi and his friends wants to paint the classroom wall
which is 5 meters by 4 maters. If 10 square meters need 1 liter of paint, how
much paint will they need to buy to paint all the four walls?
Area of the wall.
A = L x W
= 5 m x 4 m = 20 m^2
Area of all four walls = 20 x 4
= 80 m^2
therefore, 80 ÷ 10 = 8. so, Tashi and his friends need to buy 8 liters of paint.
4. The volume of the box is 216 cubic centimeters. Find the length of each side of the box.
given: v= 216 cm^3
v = l x w x h
216 = 6cm x 6cm x 6cm
one possible answer (length = 6cm, width = 6cm and height = 6cm)
5. A swimming pool is rectangular in shape. it is 12 meters long, 8 meters wide and 400 centimeters deep. What is the volume of the swimming pool in cubic meters?
convert 400 cm to m
1 m = 100 cm
400 cm = 400 ÷ 100 = 4 m (400 cm = 4m)
V = l x w x h
= 12m x 8m x 4m
= 384 m^3
therefore, the volume of the swimming pool is 384 cubic meters.
6. how much water is needed to fill a water tank that is 150 cm long, 100 cm wide and 300 cm deep? (find the answer in liters) Volume of the tank
V= l x w x h
= 150cm x 100cm x 300cm
= 4,500,000 cm^3
1 ml = 1 cm^3
4,500,000 ml = 4,500,000 cm^3
1L = 1000 ml
4,500,000 ml = 4,500,000 ÷ 1000
= 4,500 L
therefore, 4,500 L of water is needed to fill a water tank that is 4,500,000 cm^3
7. The volume of a rectangular prism is 120 m^3. If it is 5 meters long and 4 meters wide, what will be the height of the prism?
V = l x w x h OR 120 ÷ 5 = 24
120 = 5 x 4 x 6 24 ÷ 4 = 6
so, height = 6 m so, height = 6 m
8. Dorji, a farmer from Phobjikha produced 2 tonnes of potatoes. If he gets Nu. 40 per kg, how many ngultrums will he get?
convert tonne to kg
1 t = 1000 kg
2 t = 2 x 1000 = 2000 kg
so, 2000 x 40 = 80,000
therefore, he will get Nu. 80,000
9. The area of a rectangle is 24 cm^2. If Karma doubles both the length and width of a rectangle, what will be the area of the new rectangle?
A = l x w
24 = 6 x 4 (one possible answer: l = 6cm and w = 4cm)
double both length and width
A = l x w
= 12 x 8
= 96 cm^2
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