Step-by-step explanation:
Step 1 is the same for both 1. and 2., so we will show it just once.
Step 1. Read the problem. Draw the figure and
label it with the given information.
.
1.
Step 2. Identify what you are looking for. the volume of the rectangular solid
Step 3. Name. Choose a variable to represent it. Let
V
= volume
Step 4. Translate.
Write the appropriate formula.
Substitute.
V
=
L
W
H
V
=
14
⋅
9
⋅
17
Step 5. Solve the equation.
V
=
2
,
142
Step 6. Check
We leave it to you to check your calculations.
Step 7. Answer the question. The surface area is
1,034
square
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m
Lateral Area Formula :
LA = hP ; height * perimeter
= 3m * (6 + 8 + 10)
= 3m * 24
LA = 72 m²
Surface Area Formula:
SA = 2B + hP : B = area of the base = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²
Answer:
-7 or 4
Step-by-step explanation:
use foil to get the quadratic equation:
x^2+5x-2x-10=18
x^2+3x-10=18
bring "18" to the left:
x^2+3x-10-18
x^2+3x-28
so what*what= -28
and
what+what=3
factors of -28: -7,4 -4,7 14,-2 -14,2 -28,1 -1,28
factors whose sum is 3: 7,-4
so substitute "7,-4" in place of 3:
x^2+7x-4x-28
2) split it in two groups
group 1) x^2+7x
group 2) -4x-28
x^2+7x has a GCF of "x"
x(x+7)
group 2) -4x-28 has a gcf of "-4"
-4(x+7)
3) (x-4) (x+7)=0
x-4=0
x=4
x+7=0
x=-7
x=4,-7
Hope this helps!
The surface area of the game box is 1162 cm squared.