What is the volume in cubic inches?
2 answers:
Break down the figure into 2 separate rectangular solid and find each volume and sum it.
<u>Volume of smaller step:</u> The volume of any rectangular solid is given by,
So we have
<u>Volume of larger step:</u> The only dimension that is different than the smaller step is of the height, which is 6. So we have,
Hence, the volume of the whole figure, in cubic inches, is
. Answer choice B.
ANSWER: B
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9514 1404 393
Answer:
b⁶
Step-by-step explanation:
The question tells you how to work it: use the relations you studied.
Here, you have the power of an expression with an exponent. The exponents multiply.
_____
<em>Additional comment</em>
A coefficient is used to indicate repeated addition: 3x = x + x + x.
An exponent is used to indicate repeated multiplication: x³ = x·x·x.
This is still true when the exponent is applied to an expression with an exponent:
(b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2
Of course, each of these indicates repeated multiplication, so we really have ...
(b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b
And this can be simplified using an exponent to show the repeated multiplication:
= b⁶
Then, by going the long way around, we arrive at ...
(b³)² = b⁶
Answer:
20
Step-by-step explanation:
using the law of exponents
×
=
4 × 5
= (4 × 5 ) × ×
= 20