Which of the two containers would carry more: a square box with sides of 200mm each, or a rectangular box with sides of 80mm each and a length of 800mm?

Part (a) To measure the volume (capacity) of the irregular-shaped glass bowl and vase: Step 1: Fill the bowl or vase completely to the brim with water. Step 2: Carefully pour all the water into a graduated cylinder or measuring container without spilling. Step 3: Read and record the volume of water from the measuring scale. This equals the internal volume of the bowl or vase. Units: Volume in cm³ or mL (1 cm³ = 1 mL), depending on the measuring cylinder. Part (b) Step 1: Square box (cube) with all sides 200 mm. Formula: V_1 = s^3, where s = 200 mm. V_1 = 200 × 200 × 200~mm^3 200 × 200 = 40,000 40,000 × 200 = 8,000,000~mm^3 Step 2: Rectangular box with sides 90 mm, 90 mm, and length 800 mm. Formula: V_2 = w × h × l, where w = 90 mm, h = 90 mm, l = 800 mm. V_2 = 90 × 90 × 800~mm^3 90 × 90 = 8,100 8,100 × 800 = 8,100 × 8 × 100 = 64,800 × 100 = 6,480,000~mm^3 Step 3: Compare volumes (convert to cm³ for clarity: divide by 1,000). V_1 = 8,000,000~mm^3 = 8,000~cm^3 V_2 = 6,480,000~mm^3 = 6,480~cm^3 V_1 > V_2. The square box carries more volume. V_square box = 8,000,000 mm^3 V_rectangular box = 6,480,000 mm^3 (square box > rectangular box)