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MATHS 2 Marks Questions

Volume and Surface Area of Solids · UP Board (UPMSP) STD 8 (UPMSP - English Medium). 2 questions.

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Question 12 Marks
Find the surface area of a chalk box, whose length, breadth and height are $18\ cm, 10\ cm$ and $8\ cm$ respectively.
Answer
Length $= 18cm$
Breadth $= 10cm$
Height $= 8cm$
$\therefore$ Total surface area
$= 2(lb + lh + bh) = 2(18 \times 10 + 18 \times 8 + 10 \times 8) = 2(180 + 144 + 80) = 808cm^2$
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Question 22 Marks
How many soap cakes each measuring $7cm \times 5cm \times 2.5cm$ can be placed in a box of size $56cm \times 40cm \times 25cm?$
Answer
Volume of a soap cake $= 7 × 5 × 2.5 = 87.5cm^3$
Volume of the box $= 56 40 × 25 = 560000cm^3$
 No. of soap cakes $=\frac{56000}{87.5}=640\text{units}$
$\therefore$ 640 cakes of soap can be placed in a box of the given size.
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