Nome: Volume of the Building
Find the volume of the building. Calculate the volume of each building port,
Then add the volumes of the two parts together
8 m
8 m
8 m
20000
10 m
DOOD
2014
4
Volume of part 1
Volume of part 2
m
Volume of the building
m

If you split the building into 2 parts, the first part (left) would be 8m × 10m × 4m = 320m3, and the second part (right) would be 8m × 4m × 6m = 192m3

320m3 + 192m3 = 513m3

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)