Which of the following statements is true?
1 answer:
Option b is true among all options.
Step-by-step explanation:
We need to identify the true statement.
Checking each option:
<u>a) The quotient of two negative numbers is negative.</u>
This is false because the quotient of two negative numbers is positive.
for example:
<u>b) The product of two negative numbers is positive.</u>
This is true. If we multiply two negative numbers the result is positive.
For example:
<u>c) The quotient of a positive number and a negative number is positive.</u>
This is false because the quotient of a positive number and a negative number is negative.
for example:
<u>d) The product of two positive numbers is negative.</u>
This is false because the product of two positive numbers is positive.
For example:
So, Option b is true among all options.
Keywords: Integers
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Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³
If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as
They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.
For example,
if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then
the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.
For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,
Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).
Thus, its dimensions would be 15, 3 x b, 3 x c
Thus, its volume would be
Thus,
The volume of the larger rectangular prism is given as: Option C: 1620 cm³
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