Question

Activity-
(1) What is the volume in cubic metres of a platform $6m$ long, $1m$ wide and $50cm$ high?

(2) What is the volume of a piece of wood which is $4m$ long, $1m$ wide and $25cm$ high ? The price of 1 cubic metre of wood is 60000 rupees. What is the price of this piece of wood?

(3) The inner sides of a cubical box are of length 4 cetemetres. What is its capacity? How many cubes of side 2 centimetres can be stacked inside it?

Answer 1

(1) length of the platform $=6m$
Breadth $=1m$, height $=50cm=\frac{1}{2}m$
Volume $6\times 1\times \frac{1}{2}=3$ cu.m

(2) Ans: Since the price of 1 cubic metre of wood is given
Find the volume in cubic metre.
Length of the piece of wood $4m$
Breadth of piece of wood $\frac{=1}{2}m$
Height $=25cm=\frac{1}{4}m$
Volume $=4\times \frac{1}{2}\times \frac{1}{4}=\frac{1}{2}$ cu.m
Price of 1 cu.m. of wood $=60000$ rupees
Price of $\frac{1}{2}$ cu.m of wood $=\frac{1}{2}\times 60000$ $=30000$ rupees

(3) Inner length of box $=4cm$
Breadth $=4cm$, Height $=4cm$
Capacity of the box $=4$ x 4 x $4=64$ cu.cm
Volume of a cube of side $2cm=2\times 2x2=8cu.cm$.
Number of small cubes that can be stacked in the big box $=\frac{64}{8}=8$