The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
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<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
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So, we have:
The area of these corresponding sides are:
---- the first
While, the area of the second is:
The ratio of these two sides are:
<em>This gives</em>
Cancel out common terms
Express as fractions
Also, we have:
This gives
Cross multiply
Hence, option (c) is true
Read more about areas at:
brainly.com/question/6465134
Answer:
x^2-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
To write a polynomial in standard form, list its terms from highest to lowest degree. The degree of a term is represented by its exponents. Thus, rearrange the terms so that the terms with the highest exponents are first and the ones with the lowest are last.
Thus, is the answer.
Answer:
Step-by-step explanation:
Each signal unit cubes are 1 cm to each side
the dimensions of the large cube is 4 by 6 by 3 width height and depth
a) volume of the cube Vol = area of the base times height
area of the base = the width times the depth
Volume = Base Depth
= Width x Depth x Height
= 4 x 3 x 6
= 12 x 6
Vol = 72 cm ³
b ) the volume of the smaller cuboid has different dimensions
the smaller cube is 2 by 2 by 1 width height and depth
Volume = Base Depth
= Width x Depth x Heigh
= 2 x 2 x 1
Vol smaller cuboid = 4
How many smaller cubes can be made?
The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.
Number of cuboid = Volume of the cube / Volume of the cuboid
= 72 / 4
= 18
Check this answer by dividing the dimension of the cube by the cuboid
4 by 6 by 3
2 by 2 by 1
(4/2) by (6/2) by (3/1)
2 by 3 by 3 = 2 x 3 x 3 = 18
Answer:
F(x)=6x^3+2x
Step-by-step explanation:
Odd functions have solely odd powers of x.
F(x)=4x^3+7 is actually F(x) = 4x^3 + 7x^0, which is neither even nor odd.
F(x)=6x^3+2x has only odd powers of x: x^3 and x^1. This is the answer.
