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The figure above shows a cement block of
36 cm x 20 cm x 9 cm with two 10 cm x 8 cm
openings. What is the weight of the cement block
to the nearest gram? (The density of cement is
1.7 gram/cm
cm)
A) 5,040
B) 6,048
C) 7,560
D) 8,568

Respuesta :

Answer:

D)  8,568

Step-by-step explanation:

weight = (volume of block - volume of slots) x density of block

           = (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7

            = (5400 - 1440) x 1.7

           = 8,568

Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the complete block is,

Volume = 36 cm x 20 cm x 9 cm = 6480 cm³

The volume of the opening is,

Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³

Therefore, the weight of the cement block to the nearest gram is,

Weight = (6480 -1440)cm³ × 1.7 gram/cm³

            = 8568 grams

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