In every case, you're finding the surface area of a rectangular prism. That area is the sum of the areas of the 6 rectangular faces. Since opposite faces have the same area, the formula can be written
... S = 2(LW +WH +HL)
The number of multiplications can be reduced if you rearrange the formula to
... S = 2(LW +H(L +W))
where L, W, and H are the length, width, and height of the prism. (It does not matter which dimension gets what name, as long as you use the same number for the same variable in the formula.)
When you're evaluating this formula over and over for diffferent sets of numbers, it is convenient to let a calculator or spreadsheet program do it for you.
1. S = 2((5 cm)(5 cm) +(5 cm)(5 cm +5 cm)) = 2(25 cm² +(5 cm)(10 cm))
... = 2(25 cm² + 50 cm²) = 150 cm²
2. S = 2(12·6 + 2(12+6)) mm² = 2(72 +36) mm² = 216 mm²
3. S = 2(11·6 + 4(11 +6)) ft² = 2·134 ft² = 264 ft²
4. S = 2(10·4 +3(10 +4)) in² = 164 in²
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
Solve the term is parenthesis
x=24 years
Andrew's age is
Andrew is 26 years old
Answer:
30 is the total number..p
Answer: 480
Step-by-step explanation:
8x6x10=480
48x10
480
Answer:
Unit rates for cyclist A , B, C , D are 12 mile/ hour , 5 mile/hour, 9 mile/hour and 10 mile/hour respectively. Cyclist A is the fastest among the four.
Step-by-step explanation:
Cyclist A can ride 24 miles in 2 hours
so, cyclist A's unit rate is, 
= 12 mile/hour
Cyclist B's unit rate is, 
= 
= 
= 5 mile/hour
Equation for cyclist C is, y = 9x ,
so, cyclist C's unit rate is , 9 mile/hour
Slope of the graph for cyclist D,
= 
= 10
So cyclist D's unit rate is, 10 mile/hour
So, cyclist A is the fastest.
