Category: Geometry

Techniques for problems on Geometry

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Geometry Smart Math

[Smart Math] Geometry Problem 15

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

A rectangular bin 4 feet long, 3 feet wide and 2 feet high is solidly packed with bricks of dimensions 8 inches, 4 inches and 2 inches. Find the maximum number of bricks that can go in the bin.

  1. 54
  2. 320
  3. 648
  4. 848
  5. cannot be determined

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Geometry Smart Math

[Smart Math] Geometry Problem 14

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

A certain pole casts a shadow 24 feet long. At the same time another 3 feet high casts a shadow 4 feet long. How high is the first pole given that the heights and shadows are in proportion?

  1. 18 feet
  2. 19 feet
  3. 20 feet
  4. 21 feet
  5. 22 feet

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Geometry Smart Math

[Smart Math] Geometry Problem 13

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

The equal sides of an isosceles triangle are even integers only. What is the area of the triangle if the perimeter is 7 units?

  1. 7 sq. units
  2. 3 sq. units
  3. 8 sq. units
  4. $latex \frac{3\sqrt{7}}{4}$sq. units
  5. $latex 3\sqrt{7}$sq. units

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[Smart Math] Geometry Problem 12

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

Find the areas of the shaded region in the equilateral triangle.

Geo12

  1. $latex \frac{\pi }{a^{2}}$sq. units
  2. $latex 3a^{2}-a$sq. units
  3. $latex \frac{\pi }{3}\left( a^{2}-1 \right)$sq. units
  4. $latex \frac{a^{2}}{4}\left( \sqrt{3}-\pi \right)$sq. units
  5. $latex a\left( \frac{\pi }{3}-1 \right)$sq.units

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[Smart Math] Geometry Problem 11

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

A large cube is formed from the material obtained by melting three smaller cubes of side 3, 4 and 5 cms. What is the ratio of the total surface areas of the smaller cubes and the large cube?

  1. 4 : 3
  2. 3 : 2
  3. 25 : 27
  4. 27 : 20
  5. 32 : 15

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[Smart Math] Geometry Problem 10

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

The area of the four walls of a room is 1080 sq.ft. If the height and length of the room are in the ratio of 2 : 5 and the height and breadth are in the ratio 4 : 5. What is the area of the roof?

  1. 240 sq.ft.
  2. 450 sq.ft.
  3. 540 sq.ft.
  4. 720 sq.ft.
  5. Cannot be determined

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[Smart Math] Geometry Problem 9

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

A circular lawn of 98 meters is surrounded by a path of 14 meters wide. What is the area of the path in meters2?

  1. 9420
  2. 9184
  3. 9240
  4. 9835
  5. 9583

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[Smart Math] Geometry Problem 8

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

What is the length of the diagonal in the parallelepiped with dimensions 11, 8 and 6 units of length.

  1. 13.5 units
  2. 14.8 units
  3. 10.3 units
  4. 19.5 units
  5. 25.3 units

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[Smart Math] Geometry Problem 7

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

The figure ABCD is a parallelogram. Find the perimeter of ABCD.
AB = $latex 2x+2y+7$
BC = $latex 3x+2y-3$
DC = $latex 4x-3y+10$
AD = $latex x+4y$

  1. 22
  2. 48
  3. 53
  4. 59
  5. 32

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[Smart Math] Geometry Problem 6

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

Find the equation of a line with slope –4 and passing through the point (4, 5).

  1. x + y = 9
  2. x + 4y = 11
  3. 4x + y = 21
  4. 3x + 2y = 10
  5. 5x + y = 30

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