Question

The breadth and height of a cuboid are 5 cm and 3 cm, respectively. If the volume of the cuboid is 90 cm³, then what is its length? ​

Answer 1

Answer:

• The length of the cuboid is 6 cm.

Step-by-step explanation:

Given :-

• Breadth of the cuboid = 5 cm.
• Height of the cuboid = 3 cm.
• Volume of the cuboid = 90 cm³.

To Find :-

• Length of the cuboid.

Basic Terms :-

• Length : Length is a measure of how long an object is or the distance between two points.
• Breadth : Breadth is the width of a shape and describes the distance from the right side to the left side of a shape.
• Height : Height is the vertical distance from the top to the base of the object

Formula Used :-

⦾ To find the height we know that,

✦ Volume of cuboid = L × B × H ✦

where,

• Volume of cuboid = 90 cm³.
• L = length.
• B = breadth.
• H = height.

Solution :-

➲ As we see that we are given the breadth, height and the volume of the cuboid. And we are asked to find out the length. So, to find the length we will use the formula of volume of cuboid and get the length.

Given :

• Volume of cuboid = 90 cm³.
• Breadth = 5 cm.
• Height = 3 cm.

According to the question by using the formula we get,

↦ Volume of cuboid = L × B × H

↦ 90 = L × 5 × 3

↦ 90 = 15L

↦ L = 90/15

➦ L = 6

∴ Hence, the length of the cuboid is 6 cm.

❖ Verification ❖

↦ 90 = L × B × H

↦ 90 = L × 5 × 3

Putting L = 6 we get,

↦ 90 = 6 × 5 × 3

↦ 90 = 6 × 15

↦ 90 = 90

➦ LHS = RHS

∴ Hence, Verified ✔

Answer 2

Given:

• The breadth and height of a cuboid are 5 cm and 3 cm, respectively.
• The volume of the cuboid is 90 cm³

To find:

• Length of the cuboid.

Solution:

• Let's consider ABCD is a cuboid.

Where,

• Breadth = 5cm
• Height = 3cm
• Volume = 90cm³

• Let length of the cuboid be l.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Finding length of the cuboid,

→ Volume = l × b × h

→ l × 5 × 3 = 90

→ l × 15 = 90

→ 15l = 90

→ l = 90/15

→ l = 6cm

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Let's verify this,

→ Volume = l × b × h

→ 6cm × 5cm × 3cm = 90cm³

→ 30cm² × 3cm = 90cm³

→ 90cm³ = 90cm³

LHS = RHS

• Hence Verified.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

∴ Hence, Length of the cuboid be 6cm.