Question : The base of a right pyramid is square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is:
Option 1: 400 cm2
Option 2: 460 cm2
Option 3: 260 cm2
Option 4: 360 cm2
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Correct Answer: 360 cm2
Solution : Given: Base = 10 cm Height = 12 cm $\therefore$ Slant height $=\sqrt{{\text{height}^2+(\frac{\text{base}}{2})^2}}=\sqrt{12^2+5^2}$ = $\sqrt{144+25}=\sqrt{169} = 13$ cm Lateral surface area = $\frac{1}{2}$ × perimeter of base × slant height = $\frac{1}{2}$ × 40 × 13 = 260 cm2 Area of base = 10 × 10 = 100 cm2 $\therefore$ Total surface area = lateral surface area + area of the base = 260 + 100 = 360 cm2 Hence, the correct answer is 360 cm2.
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Question : What is the total surface area of a pyramid whose base is a square with a side 8 cm and the height of the pyramid is 3 cm?
Option 1: 169 cm2
Option 2: 121 cm2
Option 3: 144 cm2
Option 4: 184 cm2
Question : The base of a right prism is a square having a side of 15 cm. If its height is 8 cm, then find the total surface area.
Option 1: 940 cm2
Option 2: 920 cm2
Option 3: 900 cm2
Option 4: 930 cm2
Question : The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is the total surface area of the prism (in cm2)?
Option 1: 200
Option 2: 176
Option 3: 192
Option 4: 180
Question : The base of a right prism is an equilateral triangle whose side is 10 cm. If the height of this prism is $10 \sqrt{3}$ cm, then what is the total surface area of the prism?
Option 1: $125 \sqrt{3}$ cm2
Option 2: $325 \sqrt{3}$ cm2
Option 3: $150 \sqrt{3}$ cm2
Option 4: $350 \sqrt{3}$ cm2
Question : The whole surface area of a pyramid whose base is a regular polygon is 340 cm2, the area of its base is 100 cm2, and the area of each lateral face is 30 cm2. Then the number of lateral faces is:
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 10
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