Question

(a) If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then what is the resulting dimension(length (l), breadth (b) and height (h)) of the cuboid? Find the value of l+b+h (in cm).

(b) A metallic cylinder with volume $1331c{m}^3$ is melted and is transformed into a cube. What will be the length of the sides of the cube formed? (Volume of a cube with side length $a$ is given as $a^3$)
[3 MARKS]

Answer 1

Each Part: 1.5 Marks

(a) When we put the cubes side by side, the lengths of both the cubes are added, but there will be no change in the breadth and height of the cube.

Length (l) = (3 + 3) = 6 cm.

Breadth (b) = 3 cm.

Height (h) = 3 cm.

Hence, $l+b+h=6+3+3=12cm$


(b) Since the metallic cylinder is melted to form a cube, the cube will be of the same volume as that of the cylinder.

Volume of cube = Volume of cylinder

$a^3=1331c{m}^3$

$a=\sqrt[3]{3(}1331)=11cm$