Volume of a Cuboid | Mensuration | Assessment | English | Grade 8

Volume of a cuboid = ____________________

• length + breadth × height

• length × breadth + height

• length × breadth × height

• length × breadth / height

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Volume of a cuboid with length = 35 cm, height = 50 cm and breadth = 21 cm is ______.

• 36720 cm³

• 36750 cm³

• 36780 cm³

• 36730 cm³

Answer explanation

Volume of cuboid = l × b × h = 35 × 50 × 21 = 36750 cm³ So, Option 2 is correct.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If the volume of a cuboid is 1700 cm³ and its base area is 340 cm², then its height is equal to ________.

• 5 cm

• 7 cm

• 9 cm

• 3 cm

Answer explanation

Volume of cuboid = l × b × h We know that l × b = area of base Hence, volume of cuboid = l × b × h = area of base × h i.e. 1700 = 340 × h So, h = 1700 / 340 = 5 cm Therefore, Option 1 is correct.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Neeta has a cuboidal compass box of dimension 120 cm × 64 cm × 420 mm. What is the volume of the compass box?

• 322580 cm³

• 322550 cm³

• 322530 cm³

• 322560 cm³

Answer explanation

1 cm = 10 mm So, 420 mm = 42 cm Volume of cuboidal compass box = l × b × h = 120 × 64 × 42 = 322560 cm³ So, option 4 is correct.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

The dimensions of a cuboidal box are 90 cm × 72 cm × 58 cm. If it is filled with cuboidal boxes each of dimensions 3 cm × 3 cm × 1 cm, then the number of boxes will be ________.

• 41780

• 41750

• 41760

• 41730

Answer explanation

Volume of bigger cuboidal box = l × b × h = 90 × 72 ×58 = 375840 cm³ Volume of smaller cuboidal box = 3 cm × 3 cm × 1 cm = 9 cm³ Number of small cuboidal boxes to be placed in the bigger box = Volume of bigger box/Volume of 1 smaller box = 375840 cm³/9 cm³ = 41760 So, Option 3 is correct.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

The surface areas of the six faces of a cuboid are 32, 32, 64, 64, 72 and 72 square centimetres. The volume of the solid, in cubic centimetres, is _______.

• 192 cm³

• 384 cm³

• 480 cm³

• 2592 cm³

Answer explanation

We are given the surface areas of the six faces of a cuboid. We can write it as below that, l × b = 32 cm² ......(1) b × h = 64 cm² ........(2) l × h = 72 cm² ......(3) On multiplying (1), (2) and (3), we get, (l × b)(b × h)(l × h) = (32)(64)(72) (l × b × h)² = 147456 (l × b × h) = √147456 = 384 Volume of the cuboid = l × b × h = 384 cm³ So, option 2 is correct.

Tags

CCSS.6.G.A.4