Question

Q1. Very Short questions - (2 x 3= 6 marks)

a) Find the side of cube whose volume is 729 m3

b) Draw a line passing through L (-5, 1) and M (2, -5) on a graph paper.

c) The radius of roller is 0.7 m and it is 2 m long. How much area will it cover in

10 revolutions?​

Answer 1

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Question - a)

Given:

Volume of cube = 729 m³

To find:

Side of cube

Formula used:

$\boxed{\sf{Volume\:of\:cube=(side)³}}$

Solution:

$\sf{\leadsto Volume\:of\:cube=(side)³}$

$\sf{\leadsto 729m³=(side)³}$

$\sf{∴\:side = }$$\bold{\red{9m}}$

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Question - b)

Refer the attachment...

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Question - c)

Given:

Radius of roller (cylinder) = 0.7m

Length (height of cylinder) = 2m

No. of revolutions = 10

To find:

Area covered in 10 revolutions

( 10 × curved surface area of cylinder)

Formula used:

$\boxed{\sf{CSA\:of\:cylinder=2\pi rh}}$

Solution:

$\sf{CSA\:of\:cylinder=2\pi rh}$

$\sf{CSA\:of\:cylinder=2×\dfrac{22}{\cancel{7}}×\cancel{0.7}×2}$

$\sf{CSA\:of\:cylinder=2×22×0.1×2}$

$\sf{CSA\:of\:cylinder=8.8m²}$

$\bold{Area\:covered\:in\:10\:revolutions}$

$\bold{=10 × 8.8 =}$$\bold{\red{88m²}}$

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