Question

Find the volume and the total surface area of a cuboid, whose : l = 3.5 m, b = 2.6 m and h = 90 cm.​

Answer 1

Answer -

• The volume of the cuboid = 8.19 m³.
• The total surface area of the cuboid = 29.18 m².

To find -

• The volume and the total surface area of the cuboid.

Step-by-step explanation -

• First let's find the volume of the cuboid!

We know that -

$\underline{ \boxed{ \sf Volume_{(cuboid)} = lbh}}$

Where,

• l = Length.
• b = Breadth.
• h = Height.

Here,

• Length = 3.5 m.
• Breadth = 2.6 m.
• Height = 90 cm = 0.9 m.

Therefore,

$\rm Volume_{(cuboid)} = 3.5 \times 2.6 \times 0.9$

$\rm Volume_{(cuboid)} =8.19 \: {cm}^{3}$

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• Now, let's find the total surface area of the cuboid!

We know that -

$\underline{ \boxed{\sf Total \: surface \: area_{(cuboid)} = 2 \: (lb + lh + hb)}}$

Where,

• l = Length.
• b = Breadth.
• h = Height.

Here,

• Length = 3.5 m.
• Breadth = 2.6 m.
• Height = 90 cm = 0.9 m.

Therefore,

$\rm Total \: surface \: area_{(cuboid)} = 2 \: (3.5 \times 2.6 + 3.5 \times 0.9 + 2.6 \times 0.9)$

$\rm Total \: surface \: area_{(cuboid)} = 2 \: (14.59)$

$\rm Total \: surface \: area_{(cuboid)} = 2 \times 14.59$

$\rm Total \: surface \: area_{(cuboid)} = 29.18 \: m^2$

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