How many alarm clocks of size 5 cm × 10 cm × 10 cm can be a packed into a box of size 1 m × 1 2 m × 3 4 m ?

Given: Dimensions of clock = 5 cm × 10 cm × 10 cm Volume of Alarm clock = 5 × 10 × 10 = 500 cm 3 Dimensions of box = 1 m × 1 2 m × 3 4 m = 100 cm × 100 2 cm × 300 4 cm Volume of box = 100 × 100 2 × 300 4 = 0 . 375000 cm 3 Number of alarm clocks packed in box = 375000 500 = 750 Therefore, total number of clocks packed in box is 750

The outer dimensions of a jewellery box made of wood are 20 cm × 16 cm × 8 cm The thickness of the wood is 1 cm . Find the total cost of wood required to make the box, if 1 cm 3 of wood costs ₹ 2 . 50

Given: Outer dimensions of a jewellery box = 20 cm × 16 cm × 8 cm Outer volume of jewellery box = 12560 cm 3 Thickness of wood = 1 cm Length = 20 - 2 = 18 cm , Width = 16 - 2 = 14 cm , Height = 8 - 2 = 6 cm Inner volume of jewellery box = 18 cm × 14 cm × 6 cm = 1512 cm 3 Volume of wood = Outer volume of jewellery box - Inner volume of jewellery box = 2560 cm 3 - 1512 cm 3 = 1048 cm 3 Cost of wood required = Volume of wood × Cost of wood per cm 3 = 1048 × 2 . 50 ∵ 1 cm 3 = 2 . 5 ₹ = ₹ 2620 Therefore, cost of wood required is ₹ 2620

E M B I B E

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 10

MEDIUM

8th CBSE

IMPORTANT

Earn 100

A cuboidal shape gold biscuit is of dimensions $8 cm \times 5 cm \times 2 cm$ . From this gold biscuit, small lockets each of volume $2.5 {cm}^{3}$ are made. How many such lockets can be made from this gold biscuit?

Important Questions on Mensuration-II (Solid Figures)

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 18 - Mensuration-II (Solid Figures)>EXERCISE 18.1>Q 11

Two cubes are such that the length of the side of cube I is twice the length of the side of cube II. Find the ratio of the volume of cube I to that of cube II.