Question

Help me with this problem offering alot!

Answer 1

• Length=6cm=L
• Breadth=B=5cm
• Height=H=15cm

Total Surface Area

• 2(LB+BH+LH)-15×6
• 2(6×5+5×15+15×6)-90
• 2(30+75+90)-90
• 390-90
• 300cm²

Answer 2

The surface area of the toy box is 300 cm².

Explanation:

The formula for the area of a rectangle is the product of its width and length:

• Area = width × length

The surface area of the open top rectangular prism is made up of:

• One base rectangle 15 cm x 6 cm.
• Two congruent side rectangles 6 cm x 5 cm.
• Two congruent side rectangles 15 cm x 5 cm.

Therefore, the surface area of the toy box is:

`\begin{aligned}\textsf{Total S.A.}&=15 * 6+2(6 * 5)+2(15 * 5)\\&=90+2(30)+2(75)\\&=90+60+150\\&=150+150\\&=300\; \sf cm^2\end{aligned}`