4. Solve the following word problems. Each question carries 4 marks, (8 marks)
a) A 56.8 kg concrete slab can be balanced by two concrete pillars, each weighing
41.3 kg. How many concrete pillars are needed to support slabs that weigh 681.6
kg? Calculate the total weight of the slabs and the pillars.
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a)
Weight of each concrete slab=56.8kg
pillars for support=41.3kg
it is given that 2 pillars can hold a slap
so
=2×41.3
=82.6
no. of pillars needed to support slab of 681.6kg concrete
= 681.6÷56.8
= 12 slabs
pillars needed
= 12×2
=24 pillars
weight of 24 pillars = 24×41.3
= 991.2
Total weight of concrete needed
= 991.2+681.6
= 1672.8kg.
therefore, total weight of concrete is 1672.8 kg
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