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High School Mathematics
4.61 Lateral Surface Area of a Triangular Prism

Example:
Calculate the lateral surface area of a triangular prism of sides 13cm., 15cm. and 17cm. and height 25cm.
Solution:
Lateral surface area of the prism (A) = p * h
Where p = perimeter of the base and h = height.
Perimeter of the base (p)= 13 + 15 + 17
p = 45cm.
h = 25cm.
Therefore, A = p * h
A = 45 * 25
= 1125 Sq. cm.


Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: Calculate the lateral surface area of a triangular prism of sides 11cm., 14cm. and 17cm. and height 25cm.
1050 Sq. cm.
1060 Sq. cm.
1150 Sq. cm.
1040 Sq. cm.

Q 2: Calculate the lateral surface area of a triangular prism of sides 17cm., 19cm. and 21cm. and height 25cm.
1445 Sq. cm.
1425 Sq. cm.
1435 Sq. cm.
None of these

Q 3: Calculate the lateral surface area of a triangular prism of sides 25cm., 27cm. and 29cm. and height 31cm.
2622 Sq. cm.
2522 Sq. cm.
2511 Sq. cm.
2533 Sq. cm.

Q 4: Calculate the lateral surface area of a triangular prism of sides 15cm., 17cm. and 19cm. and height 23cm.
None of these
1175 Sq. cm.
1173 Sq. cm.
1171 Sq. cm.

Q 5: Calculate the lateral surface area of a triangular prism of sides 12cm., 16cm. and 20cm. and height 35cm.
1670 Sq. cm.
1680 Sq. cm.
1640 Sq. cm.
1650 Sq. cm.

Q 6: Calculate the lateral surface area of a triangular prism of sides 17cm., 19cm. and 21cm. and height 23cm.
1411 Sq. cm.
1511 Sq. cm.
1211 Sq. cm.
1311 Sq. cm.

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Question 8: This question is available to subscribers only!


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