Solve 1/3(10*10)10sqrt{2}

$$\frac{ 1 }{ 3 } (10 \times 10)10 \sqrt{ 2 }$$

Evaluate

$$\frac{1000\sqrt{2}}{3}\approx 471.404520791$$

Solution Steps

Multiply 10 and \frac{1}{3} to get \frac{10}{3}.

$$\frac{10}{3}\times 10\times 10\sqrt{2}$$

Express \frac{10}{3}\times 10 as a single fraction.

$$\frac{10\times 10}{3}\times 10\sqrt{2}$$

Multiply 10 and 10 to get 100.

$$\frac{100}{3}\times 10\sqrt{2}$$

Express \frac{100}{3}\times 10 as a single fraction.

$$\frac{100\times 10}{3}\sqrt{2}$$

Multiply 100 and 10 to get 1000.

$$\frac{1000}{3}\sqrt{2}$$