Question

the area of three adjacent faces of a cuboid are 48m^2, 30m^2 and 40m^2. Find the volume of the cuboid

Answer 1

Step-by-step explanation:

ANSWER

Given,

Area of 1=120cm

2

Area of 2=72cm

2

Area of 3=60cm

2

lb=120→1

bh=72→2

lh=60→3

Multiplying all three equations

l

2 b

2h

2

=120×72×60

lbh=

720

2

= Volume

Volume=720cm

2

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Answer 2

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Answer

Volume of Cuboid = 240m³

Given

• Area of face 1 = 48m²
• Area of face 2 = 30m²
• Area of face 3 = 40m²

To Calculate

• Volume of Cuboid

Solution

Area of 1 = 48m²

Area of 2 = 30m²

Area of 3 = 40m²

It is given that faces are adjacent

So,

lb = 48 ────eq.1

bh = 30 ────eq. 2

lh = 40 ────eq. 3

Multiplying all three equations

$\bf \implies {l}^{2} \times {b}^{2} \times {h}^{2} = 48 \times 30 \times 40$

$\bf \implies {(l \times b \times h)}^{2} = 57600$

$\bf \implies l \times b \times h = \sqrt{57600}$

$\bf \implies l \times b \times h = 240 {m}^{3}$

Volume of Cuboid

$\bf \implies l \times b \times h = 240 {m}^{3}$

Therefore, volume of Cuboid is 240m³.