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Math  /  Geometry

QuestionFirst, find the length of each edge of the cube. Then, find the volume. NEXT Reference calculator (x) formulas CLEAR CHECK glossary
Length l=□cml=\square \mathrm{cm} Language i{ }^{i} ENGLISH
Width w=□cmw=\square \mathrm{cm}
Height h=□cmh=\square \mathrm{cm}
Volume V=□cm3V=\square \mathrm{cm}^{3}

Studdy Solution

STEP 1

1. The shape in question is a cube.
2. All edges of a cube are of equal length.
3. One edge of the cube is given as 6 6 cm.

STEP 2

1. Identify the length of each edge of the cube.
2. Recall the formula for the volume of a cube.
3. Substitute the edge length into the volume formula.
4. Calculate the volume of the cube.

STEP 3

Identify the length of each edge of the cube. Since the cube has all edges of equal length, and one edge is given as 6 6 cm, the length of each edge is:
l=6 cm l = 6 \text{ cm}

STEP 4

Recall the formula for the volume of a cube:
V=l3 V = l^3

STEP 5

Substitute the edge length into the volume formula:
V=(6 cm)3 V = (6 \text{ cm})^3

STEP 6

Calculate the volume of the cube:
V=6 cm×6 cm×6 cm V = 6 \text{ cm} \times 6 \text{ cm} \times 6 \text{ cm} V=216 cm3 V = 216 \text{ cm}^3
The volume of the cube is:
216 cm3 \boxed{216 \text{ cm}^3}

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