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Geometry of 3D Shapes

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Questions and Answers

A cube has a side length of 5 cm. What is the total surface area of the cube?

75 cm^2

250 cm^2

125 cm^2

150 cm^2 (correct)

A cuboid has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the lateral surface area of the cuboid?

112 cm^2 (correct)

192 cm^2

80 cm^2

96 cm^2

A right circular cylinder has a radius of 3 cm and a height of 10 cm. What is the total surface area of the cylinder?

264π cm^2

336π cm^2

180π cm^2

156π cm^2 (correct)

A cuboid has a volume of 120 cm^3. If its length is 10 cm and its breadth is 6 cm, what is its height?

<p>2 cm (C)</p> Signup and view all the answers

A cube has a lateral surface area of 36 cm^2. What is the volume of the cube?

<p>27 cm^3 (C)</p> Signup and view all the answers

Flashcards

Cuboid

A 3D geometric shape with six rectangular faces.

Lateral surface area of cuboid

Calculated as 2h(l + b) where h = height, l = length, b = breadth.

Total surface area of cuboid

Calculated as 2h(lb + bh + hl) including all faces.

Volume of a cuboid

Measured as lbh; it's the space inside the cuboid.

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Curved surface area of right circular cylinder

Calculated as 2πrh, where r = radius, h = height.

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Study Notes

Cuboid

Lateral surface area: 2h(l + b)
Total surface area: 2h(l + b + h)
Volume: lbh

Cube

Lateral surface area: 4a²
Total surface area: 6a²
Volume: a³

Right Circular Cylinder

Curved surface area: 2πrh
Total surface area: 2πr(h + r)

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Description

Test your knowledge on the geometric properties of various 3D shapes including cuboids, cubes, and right circular cylinders. This quiz covers formulas for lateral surface area, total surface area, and volume. Perfect for students studying geometry in school!