Name: Introduction to Area of a Cylinder
Uploaded: 2019-07-19
Duration: 5 min 14 s
Description: There are two areas related to a cylinder, the curved surface area and the total surface area. Let's learn how to calculate the surface area of a cylinder in...

Question

Find the missing number for a cuboid in the table given below.

Length	Breadth	Height	CSA	TSA	Volume
$10$	$2$	$4$	-	-	-
$1$	$1$	$2$	-	-	-
-	$4$	$8$	$80$	-	$32$
$5$	-	$2$	-	$62$	$30$
$10$	$10$	-	-	-	$200$

Accepted Answer

We are asked to fill the table for a cuboid.

We know that, for a cuboid of sides $l, b, h$ , the curved surface area $2 h (l + b)$

Total surface area $4$

Volume $= l b h$

For, $l = 10, b = 2, h = 4$ ,

CSA $= 2 h (l + b)$

$= 2 \times 4 (10 + 2) = 96$

TSA $= 2 (l b + b h + h l)$

$= 2 (10 \times 2 + 2 \times 4 + 4 \times 10) = 2 (20 + 8 + 40) = 2 \times 68 = 136$

Volume $= l b h$

$= 10 \times 2 \times 4 = 80$

Similarly, we can fill the table as given below:

Length Breadth Height CSA TSA Volume

$10$ $2$ $4$ $96$ $136$ $80$

$1$ $1$ $2$ $8$ $10$ $2$

$1$ $4$ $8$ $80$ $88$ $32$

$5$ $3$ $2$ $32$ $62$ $30$

$10$ $10$ $2$ $80$ $280$ $200$

Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Surface Area and Volume, Exercise 3: Try These!

Rupesh Pathak Mathematics Solutions for Exercise - Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Surface Area and Volume, Exercise 3: Try These!

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