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.

$V_1 = 200 \times 200 \times 200~mm^3$

$200 \times 200 = 40{,}000$
$40{,}000 \times 200 = 8{,}000{,}000~mm^3$

Step 2: Rectangular box with sides 90 mm, 90 mm, and length 800 mm.
Formula: $V_2 = w \times h \times l$, where $w = 90$ mm, $h = 90$ mm, $l = 800$ mm.

$V_2 = 90 \times 90 \times 800~mm^3$

$90 \times 90 = 8{,}100$
$8{,}100 \times 800 = 8{,}100 \times 8 \times 100 = 64{,}800 \times 100 = 6{,}480{,}000~mm^3$

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)}