Questions - 1 If the base of a prism is an square and its total surface area is 16 cm^2 and height of
the prism is 1 cm then find the volume of prism in cm^3.
यदि किसी प्रिज्म का अाधार एक वर्ग है तथा इसका कुल पृष्ठीय क्षेत्रफल 16 सेमी^3 एवं ऊंचाई 1 सेमी है
तब का अायतन बताअो ।
(A) 4 (B) 6 (C) 8 (D) 10
Solution - (A)
TSA = CSA + 2 × area of base
Given : 2a^2 + 4a × 1 = 16
a^2 + 2a - 8 = 0
a = 2
Required volume = Area of Base × Height
= (2)^2 × 1
= 4 cm^3
Questions - 2 The base of prism right angle triangle with two sides 24 and 10 cm . The
height of the prism is 10 cm then find the total surface area of prism in cm^3.
यदि किसी प्रिज्म का अाधार एक समकोण त्रिभुज है एवं समकोण बनाने वाली भुजाअो की लम्बाई
क्रमश : 24 अौर 10 सेमी है यदि प्रिज्म की ऊंचाई 10 सेमी हो तो प्रिज्म का कुल पृष्ठीय क्षेत्रफल बताअो
(A) 440 (B) 840 (C) 940 (D) 740
Solution :- (B)
Perimeter of right angle triangle = 24 +10 + 25 = 60
TSA = CSA + 2 × area of base
TSA = ( Perimeter of base × Height ) + 2 × area of base
TSA = 60 × 10 + 2 × 1/2 × 24 × 10
TSA = 840 CM^3
the prism is 1 cm then find the volume of prism in cm^3.
यदि किसी प्रिज्म का अाधार एक वर्ग है तथा इसका कुल पृष्ठीय क्षेत्रफल 16 सेमी^3 एवं ऊंचाई 1 सेमी है
तब का अायतन बताअो ।
(A) 4 (B) 6 (C) 8 (D) 10
Solution - (A)
TSA = CSA + 2 × area of base
Given : 2a^2 + 4a × 1 = 16
a^2 + 2a - 8 = 0
a = 2
Required volume = Area of Base × Height
= (2)^2 × 1
= 4 cm^3
Questions - 2 The base of prism right angle triangle with two sides 24 and 10 cm . The
height of the prism is 10 cm then find the total surface area of prism in cm^3.
यदि किसी प्रिज्म का अाधार एक समकोण त्रिभुज है एवं समकोण बनाने वाली भुजाअो की लम्बाई
क्रमश : 24 अौर 10 सेमी है यदि प्रिज्म की ऊंचाई 10 सेमी हो तो प्रिज्म का कुल पृष्ठीय क्षेत्रफल बताअो
(A) 440 (B) 840 (C) 940 (D) 740
Solution :- (B)
Perimeter of right angle triangle = 24 +10 + 25 = 60
TSA = CSA + 2 × area of base
TSA = ( Perimeter of base × Height ) + 2 × area of base
TSA = 60 × 10 + 2 × 1/2 × 24 × 10
TSA = 840 CM^3
Thanks
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