Question #247706

The length and breadth and thickness of rectangular sheet of wood are 3.230m 1.49m and 1.99m respectively determine the surface and volume of the sheet up to correct significant figures


Expert's answer

The volume is given as follows:


V=3.230m1.49m1.99m9.58m3V = 3.230m\cdot 1.49m\cdot 1.99m\approx 9.58m^3

The surface consists of pairs of three following parts:


A1=3.230m1.49mA2=1.99m1.49mA3=3.230m1.99mA_1 = 3.230m\cdot 1.49m\\ A_2 = 1.99m\cdot 1.49m\\ A_3 = 3.230m\cdot 1.99m

Finally:


A=2(A1+A2+A3)A=2(3.230m1.49m+1.99m1.49m+3.230m1.99m)14.21m2A = 2(A_1 + A_2 + A_3)\\ A = 2\cdot (3.230m\cdot 1.49m + 1.99m\cdot 1.49m + 3.230m\cdot 1.99m) \approx 14.21m^2

Answer. Volume: 9.58m^3, Surface: 14.21m^2.


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