The length of the rectangular parallelepiped is 24 cm, and it is 3 times more wide, and the width is 3 cm less than the height.

| February 14, 2021 | education

The length of the rectangular parallelepiped is 24 cm, and it is 3 times more wide, and the width is 3 cm less than the height. Find: a) the sum of the lengths of all edges; b) its surface area; c) volume

Since the width of a rectangular parallelepiped is 3 times less than its length, equal to 24 cm, therefore, it is:

24: 3 = 8 cm.

And the height is 3 cm more than the width:

8 + 3 = 11 cm.

a) The sum of the lengths of all edges is calculated by the formula:

L = 4 * (a + b + c) = 4 * (24 + 8 + 11).

According to the order of performing mathematical operations, first of all we find the values in brackets, then multiplication:

L = 4 * 43 = 172 cm.

b) The surface area is calculated by the formula:

S = 2 * (ab + bc + ac) = 2 * (24 * 8 + 8 * 11 + 24 * 11) = 2 * (192 + 88 + 264) = 1088 cm².

c) The volume is calculated by the formula:

V = a * b * c = 24 * 8 * 11 = 2112 cm³.



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