Question

1. a scale drawing of the side of a house is shown below. what is the best estimate of the area of the side of the house?

a. 700 ft²
b. 850 ft²
c. 1,000 ft²
d. 1,250 ft²

1. a cereal box is 10.4 inches high, 7.4 inches long, and 2.3 inches wide. what is the volume of the cereal box rounded to the nearest cubic inch?

a. 77
b. 140
c. 177
d. 236

Explanation:

Problem 1:

Step1: Count full/partial grid squares

Count full squares: 12. Count partial squares (~0.5 each): 10.

Step2: Calculate total grid units

Total units = $12 + (10 \times 0.5) = 17$

Step3: Compute actual area

Actual area = $17 \times 36$
$= 612$ (closest to 700 ft²)

Problem 2:

Step1: Apply volume formula

Volume $V = l \times w \times h$
$V = 10.4 \times 7.4 \times 2.3$

Step2: Calculate product

$10.4 \times 7.4 = 76.96$; $76.96 \times 2.3 = 177.008$

Step3: Round to nearest integer

Rounded $V = 177$

Answer:

1. A. $700\ ft^2$
2. C. 177