Question

find the volume and surface area of the following cuboid. length=8cm ,breadth=7.5cm,height=12cm​

Answer 1

AnswEr :

›»› The volume of a cuboid is 720 cm².

›»› The surface area of a cuboid is 492 cm².

Given :

• Length of a cuboid = 8 cm.
• Breadth of a cuboid = 7.5 cm.
• Height of a cuboid = 12 cm.

To Find :

• Volume of a cuboid = ?
• Surface area of a cuboid = ?

Solution :

As we know that

→ Volume of cuboid = length * breadth * height

→ Volume of cuboid = l * b * h

→ Volume of cuboid = 8 * 7.5 * 12

→ Volume of cuboid = 60 * 12

→ Volume of cuboid = 720.

Hence, the volume of a cuboid is 720 cm².

Now,

As we know that

→ Surface area of cuboid = 2{(length * breadth) + (breadth * height) + (length * height)}

→ Surface area of cuboid = 2(lb + bh + lh)

→ Surface area of cuboid = 2{(8 * 7.5) + (7.5 * 12) + (8 * 12)}

→ Surface area of cuboid = 2{60 + (7.5 * 12) + (8 * 12)}

→ Surface area of cuboid = 2{60 + 90 + (8 * 12)}

→ Surface area of cuboid = 2(60 + 90 + 96)

→ Surface area of cuboid = 2(150 + 96)

→ Surface area of cuboid = 2(246)

→ Surface area of cuboid = 492.

Hence, the surface area of a cuboid is 492 cm²

Learn more :

1. The paint in a certain container is sufficient to paint an area equal to 16.66 m2. How many bricks of dimensions 22cm,10cm and 8cm can be painted out of this container?

brainly.in/question/28321517

2. A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its curved surface area and the total surface ...

brainly.in/question/28093746

Answer 2

Answer:

Given :-

• Length = 8 cm
• Breadth = 7.5 cm
• Height = 12 cm

To Find :-

1. Volume
2. Total surface area

Solution :-

Firstly let's find its volume

$\boxed { \bf Volume \: = l \times b \times h}$

$\sf {:} \implies \: Volume = 8 \times7.5 \times 12$

$\sf {:} \implies \: Volume \: = 60 \times 12$

$\huge \bf Volume = 720 \: cm$

Now,

Let's find TSA

$\boxed { \bf TSA \: = 2(lb + bh + lh)}$

$\sf \: TSA\: = 2(8 \times 7.5 + 7.5 \times 12 + 8 \times 12)$

$\sf \: TSA = 2(60 + 90 + 96)$

$\sf \: TSA \: = 2(246)$

$\sf \: TSA = 492 \: cm {}^{3}$

Hence :-

Volume of cuboid is 720 cm and surface area is 492 cm.