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secondary 4 | E Maths
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how to do qn 3c?
Date Posted: 4 years ago
Views: 216
for part (c), ...
consider a 2-D rectangle …
if you double the length and halve the width, does the area change?
the situation is similar for a 3-D cuboid …
if you double the length, and at the same time, halve the width OR the height, now it is the volume of the cuboid that remains the same, but the total surface area is different.
based on the given surface area, the original cuboid should be …
(x-2) times (x-3) times (2x-1)
new cuboid can be …
(2x-4) times (x-3) times (x-1/2)
OR
(x-2) times (2x-6) times (x-1/2)
work out and compare the volume and surface area to see for yourself !
you can change length, width and height as you like. as long as the changes are reciprocal changes that cancel out each other, the volume remains the same.
consider a 2-D rectangle …
if you double the length and halve the width, does the area change?
the situation is similar for a 3-D cuboid …
if you double the length, and at the same time, halve the width OR the height, now it is the volume of the cuboid that remains the same, but the total surface area is different.
based on the given surface area, the original cuboid should be …
(x-2) times (x-3) times (2x-1)
new cuboid can be …
(2x-4) times (x-3) times (x-1/2)
OR
(x-2) times (2x-6) times (x-1/2)
work out and compare the volume and surface area to see for yourself !
you can change length, width and height as you like. as long as the changes are reciprocal changes that cancel out each other, the volume remains the same.
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