Question

1. find the perimeter of the base (p), height (h), area of the base (b) and total surface area of the rectangular prism below.

p =

h =

b =

total surface area =

1. find the perimeter of the base (p), height (h), area of the base (b) and total surface area of the rectangular prism below.

p =

h =

b =

total surface area =

Explanation:

Step1: Solve Q9: Base perimeter

The base is a rectangle with length 22 cm, width 6 cm. Perimeter formula: $P=2(l+w)$
$P=2(22+6)=2\times28=56$ cm

Step2: Solve Q9: Identify height

The height of the prism is the side perpendicular to the base: $h=5$ cm

Step3: Solve Q9: Base area

Base area formula: $B=l\times w$
$B=22\times6=132$ cm²

Step4: Solve Q9: Total surface area

Surface area formula: $SA=2B+P\times h$
$SA=2\times132 + 56\times5=264+280=544$ cm²

Step5: Solve Q10: Base perimeter

The base is a rectangle with length 11 mm, width 9 mm. Perimeter formula: $P=2(l+w)$
$P=2(11+9)=2\times20=40$ mm

Step6: Solve Q10: Identify height

The height of the prism is the side perpendicular to the base: $h=35$ mm

Step7: Solve Q10: Base area

Base area formula: $B=l\times w$
$B=11\times9=99$ mm²

Step8: Solve Q10: Total surface area

Surface area formula: $SA=2B+P\times h$
$SA=2\times99 + 40\times35=198+1400=1598$ mm²

Answer:

For Question 9:

$P = 56$ cm
$h = 5$ cm
$B = 132$ cm²
Total Surface Area = $544$ cm²

For Question 10:

$P = 40$ mm
$h = 35$ mm
$B = 99$ mm²
Total Surface Area = $1598$ mm²