Answer:
Im gonna have to say 21 yd^2.
Step-by-step explanation:
L*W=A^2 so... 7*3=21
Answer:
27 ft^3
Step-by-step explanation:
The total surface area of the cube is 54 ft^2.
A cube has 6 congruent square sides.
54 ft^2/5 = 9 ft^2
Each square side has area 9 ft^2.
The area of a square is the square of the side, so the side of a square is the square root of the area.
side = sqrt(9 ft)^2 = 3 ft
The volume of a cube is the cube of the side.
volume = (3 ft)^3
volume = 27 ft^3
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
He will have a fourth of a cup raisins left over<span />
