Question

4. Acuboid has a volume of 72 cm! The length is 4 cm and the breadth is 3 cm. Find its
height.​

Answer 1

Given :

A cuboid has a volume of 72 cm³. The length is 4 cm and the breadth is 3 cm.

To find :

• Height of cuboid

Solution :

• Volume of cuboid = 72 cm³

• Length of cuboid = 4 cm

• Breadth of cuboid = 3cm

According to formula of volume of cuboid

→ length × breadth × height = 72 cm³

• Put the value of l & b

→ 4 × 3 × h = 72

→ 12h = 72

→ h = 72/12

→ h = 6 cm

•°• Height of cuboid = 6cm

Focus Zone :

★ Total surface area of cuboid =

2(lb + bh + lh)

★ Area of four walls = Lateral surface area of cuboid = 2(l + b)h

_______________________________

Answer 2

Given:-

$\bigstar$The volume of cuboid = 72 cm.

$\bigstar$The length of cuboid = 4 cm.

$\bigstar$The breadth of cuboid = 3 cm.

To Find:-

$\bigstar$Height of the cuboid.

Solution:-

$\bigstar$Using formula,

$\longrightarrow{ \underline{ \boxed{ \sf{Volume = length \times breadth \times height}}}}$

$\bigstar$Substitute the value give in the question in formula.

$\\ \longrightarrow \tt \: 72 = 4 \times 3 \times height$

$\\ \longrightarrow \tt \: 72 = 12 \times height$

$\\ \longrightarrow \tt \: height = \frac{72}{12}$

$\\ \longrightarrow \tt \: height = 6 \: cm$

$\bigstar$Hence, The height of the cuboid is 6 cm