Question

the height of a triangular prism is 10cm . the sides of the base are 3cm , 4cm and 5cm . then the total surface area​

Answer 1

Total surface area of prism = ? h is the height of prism. here base is a right angled triangle (because 3, 4, 5 is a triplet) Base and Height will be 3 , 4 cm or 4, 3 cm and 5 will be hypotenuse. So, total surface area of given prism is 126.....

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Answer 2

GIVEN :-

• Height of a Triangular Prism = 10 cm

• Sides of the base = 3 cm, 4 cm, 5 cm

TO FIND :-

• Total surface area

SOLUTION :-

We know that,

• Total Surface Area (TSA)

• Area of Base (B)

• Perimeter of the Base (p)

• Height of the Prism (h)

By applying TSA of Triangular Prism formula

⇨TSA = B + p × h

Here ,

⇝Base is a right angled triangle because 3, 4, 5 is a triplet.

⇝Base and Height will be 3 , 4 cm or 4, 3 cm and 5 will be hypotenuse.

Now ,

Formula for Base (B) :-

$\star \red{B = \frac{1}{2} × Base × Height} \star$

$B = \frac{1}{2} ×3×4 = 6cm {}^{2} {}$

⇨6+ (3+4+5) × 10

⇨ 6 + 120

⇨126

$\therefore T.S.A \: of \: Triangular \: Prism \: is \\ \pink \rightarrow {126 \: cm}^{2}$