Question

the diagonal of a cuboid which is 5 metre long for 4 metre broad and 3 metre high find the total surface area lateral surface area and length ? ​

Answer 1

Answer:

Answer is given in attachment

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Answer 2

Answer:

Given :-

• the diagonal of a cuboid which is 5 metre long for 4 metre broad and 3 metre high.

To Find :-

• total surface area lateral surface area and length

Solution :-

• Diagonal of cuboid (d)- 5m
• Breadth of cuboid (b) - 4m
• Height of cuboid (h) - 3m

Length of cuboid :-

$\rightarrow$$\underline{\green{\boxed{d = \sqrt{ {l}^{2} + {b}^{2} + {c}^{2} }}}}$

$\rightarrow$$5 = \sqrt{ {l}^{2} + {4}^{2} + {3}^{2} } \\ 5 = \sqrt{ {l}^{2} + 16 + 9 } \\ 5 = l + 4 + 3 \\ 5 = l + 7 \\ l = 7 - 5\\ \red{\boxed{ l = 2}}$

Total surface area of cuboid :-

$\rightarrow$$\underline{\green{\boxed{2 (Length \times Breadth + breadth \times height + Length \times height)}}}$

$\rightarrow$ 2(lb + bh + hl)

$\rightarrow$ 2[(2)(4) + (4)(3) + (3)(2)]

$\rightarrow$ 2(8 + 12 + 6)

$\rightarrow$ 2(26)

$\rightarrow$ $\red{\boxed{52 {m}^{2} }}$

Lateral surface area of cuboid :-

$\rightarrow$$\underline{\green{\boxed{2 (Length + Breadth) height}}}$

$\rightarrow$ 2(l + b) h

$\rightarrow$ 2(2 + 4)× 3

$\rightarrow$ 2(6) × 3

$\rightarrow$ $\red{\boxed{36 {m}^{2} }}$