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Mensuration MATHS - Mensuration

UP Board (UPMSP) - STD 8 - MATHS (UPMSP - English Medium). 126 questions in this chapter.

Question types

Mensuration question types

126 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

126
Questions
5
Question groups
5
Question types
Sample Questions

Mensuration questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q. [1 Marks Each]1 Mark
A covered wooden box has the inner measures as $115\ cm, 75\ cm$ and $35\ cm$ and thickness of wood as $2.5\ cm.$ The volume of the wood is:
  • A
    $85,000 \mathrm{~cm}^3$
     
  • B
    $80,000 \mathrm{~cm}^3$
     
  • ✓
    $82,125 \mathrm{~cm}^3$
     
  • D
    $84,000 \mathrm{~cm}^3$

Answer: C.

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Q 2M.C.Q. [1 Marks Each]1 Mark
If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true?
  • A
    Total surface area of the cylinder will be doubled.
  • B
    Total surface area of the cylinder will remain unchanged.
  • C
    Total surface of the cylinder will be halved.
  • ✓
    None of the above.

Answer: D.

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Q 3M.C.Q. [1 Marks Each]1 Mark
The perimeter of a trapezium is $52\ cm$ and its each non-parallel side is equal to $10\ cm$ with its height $8\ cm$. Its area is:
  • A
    $ 124 \mathrm{~cm}^2 $
  • B
    $ 118 \mathrm{~cm}^2 $
  • ✓
    $ 128 \mathrm{~cm}^2 $
  • D
    $ 112 \mathrm{~cm}^2 $

Answer: C.

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Q 4M.C.Q. [1 Marks Each]1 Mark
The area of a parallelogram is $60\ cm^2$ and one of its altitude is $5\ cm.$ The length of its corresponding side is:
  • ✓
    $12\ cm$
     
  • B
    $6\ cm$
     
  • C
    $4\ cm$
     
  • D
    $2\ cm$

Answer: A.

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Q 5M.C.Q. [1 Marks Each]1 Mark
Area of a quadrilateral $\text{ABCD}$ is $20\ cm^2$ and perpendiculars on $BD$ from opposite vertices are $1\ cm$ and $1.5\ cm.$ The length of $BD$ is:
  • A
    $4\ cm$
  • B
    $15\ cm$
  • ✓
    $16\ cm$
  • D
    $18\ cm$

Answer: C.

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Q 103 Marks Question3 Marks
A cuboidal tin box opened at the top has dimensions $20cm \times 16cm \times 14cm$. What is the total area of metal sheet required to make $10$ such boxes?
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Q 123 Marks Question3 Marks
A running track has $2$ semicircular ends of radius 63m and two straight lengths. The perimeter of the track is $1000\ m$. Find each straight length.
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Q 133 Marks Question3 Marks
The ratio between the curved surface area and the total surface area of a right circular cylinder is $1 : 2$. Find the ratio between the height and radius of the cylinder.
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Q 155 Marks Questions5 Marks
The thickness of a hollow metallic cylinder is $2\ cm$. It is $70\ cm$ long with outer radius of $14\ cm$. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs $8g$ per $cm^3$.
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Q 165 Marks Questions5 Marks
A cylindrical tank has a radius of $154\ cm$. It is filled with water to a height of $3\ m$. If water to a height of $4.5\ m$ is poured into it, what will be the increase in the volume of water in kl?
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Q 175 Marks Questions5 Marks
From a pipe of inner radius $0.75\ cm$, water flows at the rate of $7\ m$ per second. Find the volume in litres of water delivered by the pipe in $1$ hour.
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Q 185 Marks Questions5 Marks
The length, breadth and height of a cuboidal reservoir is $7\ m, 6\ m$ and $15\ m$ respectively. $8400\ L$ of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.
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Q 195 Marks Questions5 Marks
The area of a trapezium with equal non-parallel sides is $168m^2$. If the lengths of the parallel sides are $36\ m$ and $20\ m$, find the length of the non-parallel sides.
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Q 201 Marks Question1 Mark
Two cylinders $A$ and $B$ are formed by folding a rectangular sheet of dimensions $20\ cm × 10\ cm$ along its length and also along its breadth respectively. Then volume of $A$ is ________ of volume of $B.$
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